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80764416 = 2932171031
BaseRepresentation
bin1001101000001…
…01111000000000
312121222020221200
410310011320000
5131133430131
612003021200
72000325525
oct464057000
9177866850
1080764416
1141653557
122306a800
131396a2c5
14aa2514c
1571552e6
hex4d05e00

80764416 has 120 divisors (see below), whose sum is σ = 247042224. Its totient is φ = 25313280.

The previous prime is 80764379. The next prime is 80764423. The reversal of 80764416 is 61446708.

80764416 is a `hidden beast` number, since 8 + 0 + 7 + 644 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77821 + ... + 78851.

Almost surely, 280764416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123521112).

80764416 is an abundant number, since it is smaller than the sum of its proper divisors (166277808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80764416 is a wasteful number, since it uses less digits than its factorization.

80764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 80764416 is about 8986.9024697056. The cubic root of 80764416 is about 432.2549934902.

The spelling of 80764416 in words is "eighty million, seven hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1031 1088 1152 1224 1536 1632 2062 2176 2304 2448 3093 3264 4124 4352 4608 4896 6186 6528 8248 8704 9279 9792 12372 13056 16496 17527 18558 19584 24744 26112 32992 35054 37116 39168 49488 52581 65984 70108 74232 78336 98976 105162 131968 140216 148464 157743 197952 210324 263936 280432 296928 315486 395904 420648 527872 560864 593856 630972 791808 841296 1121728 1187712 1261944 1583616 1682592 2243456 2375424 2523888 3365184 4486912 4750848 5047776 6730368 8973824 10095552 13460736 20191104 26921472 40382208 80764416