79760259600 has 1200 divisors, whose sum is σ = 330763591680. Its totient is φ = 16358630400.

The previous prime is 79760259577. The next prime is 79760259661. The reversal of 79760259600 is 695206797.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×79760259600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1697026777 + ... + 1697026823.

Almost surely, 2^79760259600 is an apocalyptic number.

79760259600 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 79760259600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165381795840).

79760259600 is an abundant number, since it is smaller than the sum of its proper divisors (251003332080).

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

79760259600 is a wasteful number, since it uses less digits than its factorization.

79760259600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 79760259600 in words is "seventy-nine billion, seven hundred sixty million, two hundred fifty-nine thousand, six hundred".