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77326480 = 24571112553
BaseRepresentation
bin1001001101111…
…10100010010000
312101111120222201
410212332202100
5124243421410
611401212544
71626156430
oct446764220
9171446881
1077326480
113a715590
1221a91154
131303551a
14a3ac2c0
156bc683a
hex49be890

77326480 has 80 divisors (see below), whose sum is σ = 224164224. Its totient is φ = 24099840.

The previous prime is 77326477. The next prime is 77326481. The reversal of 77326480 is 8462377.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (77326481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 12436.

Almost surely, 277326480 is an apocalyptic number.

77326480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77326480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112082112).

77326480 is an abundant number, since it is smaller than the sum of its proper divisors (146837744).

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

77326480 is a wasteful number, since it uses less digits than its factorization.

77326480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12584 (or 12578 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 77326480 is about 8793.5476344875. The cubic root of 77326480 is about 426.0325160512.

The spelling of 77326480 in words is "seventy-seven million, three hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 12553 25106 50212 62765 87871 100424 125530 138083 175742 200848 251060 276166 351484 439355 502120 552332 690415 702968 878710 966581 1004240 1104664 1380830 1405936 1757420 1933162 2209328 2761660 3514840 3866324 4832905 5523320 7029680 7732648 9665810 11046640 15465296 19331620 38663240 77326480