79996560 has 160 divisors (see below), whose sum is σ = 300195072. Its totient is φ = 17203200.

The previous prime is 79996549. The next prime is 79996571. The reversal of 79996560 is 6569997.

It is an interprime number because it is at equal distance from previous prime (79996549) and next prime (79996571).

It is a super-2 number, since 2×79996560² = 12798899223667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27160 + ... + 29960.

Almost surely, 2^79996560 is an apocalyptic number.

79996560 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 79996560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150097536).

79996560 is an abundant number, since it is smaller than the sum of its proper divisors (220198512).

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

79996560 is a wasteful number, since it uses less digits than its factorization.

79996560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The square root of 79996560 is about 8944.0796060858. The cubic root of 79996560 is about 430.8807618717.

The spelling of 79996560 in words is "seventy-nine million, nine hundred ninety-six thousand, five hundred sixty".