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80879616 = 213321097
BaseRepresentation
bin1001101001000…
…10000000000000
312122012002222100
410310202000000
5131201121431
612005310400
72001315426
oct464420000
9178162870
1080879616
1141722064
1223105400
13139aa87c
14aa55116
1571794e6
hex4d22000

80879616 has 84 divisors (see below), whose sum is σ = 233850942. Its totient is φ = 26935296.

The previous prime is 80879609. The next prime is 80879633. The reversal of 80879616 is 61697808.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 6230016 = 8640^2 + 2496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73180 + ... + 74276.

Almost surely, 280879616 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 80879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116925471).

80879616 is an abundant number, since it is smaller than the sum of its proper divisors (152971326).

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

80879616 is a wasteful number, since it uses less digits than its factorization.

80879616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 80879616 is about 8993.3095131881. The cubic root of 80879616 is about 432.4604144776.

The spelling of 80879616 in words is "eighty million, eight hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1097 1152 1536 2048 2194 2304 3072 3291 4096 4388 4608 6144 6582 8192 8776 9216 9873 12288 13164 17552 18432 19746 24576 26328 35104 36864 39492 52656 70208 73728 78984 105312 140416 157968 210624 280832 315936 421248 561664 631872 842496 1123328 1263744 1684992 2246656 2527488 3369984 4493312 5054976 6739968 8986624 10109952 13479936 20219904 26959872 40439808 80879616