79729896960 has 960 divisors, whose sum is σ = 335333965824. Its totient is φ = 17119641600.

The previous prime is 79729896943. The next prime is 79729896977. The reversal of 79729896960 is 6969892797.

It is an interprime number because it is at equal distance from previous prime (79729896943) and next prime (79729896977).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184987945 + ... + 184988375.

Almost surely, 2^79729896960 is an apocalyptic number.

79729896960 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 79729896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167666982912).

79729896960 is an abundant number, since it is smaller than the sum of its proper divisors (255604068864).

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

79729896960 is a wasteful number, since it uses less digits than its factorization.

79729896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 79729896960 in words is "seventy-nine billion, seven hundred twenty-nine million, eight hundred ninety-six thousand, nine hundred sixty".