79465986600 has 1536 divisors, whose sum is σ = 360336936960. Its totient is φ = 13934592000.

The previous prime is 79465986563. The next prime is 79465986601. The reversal of 79465986600 is 668956497.

It is a super-2 number, since 2×79465986600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (79465986601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 439038510 + ... + 439038690.

It is an arithmetic number, because the mean of its divisors is an integer number (234594360).

Almost surely, 2^79465986600 is an apocalyptic number.

79465986600 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 79465986600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180168468480).

79465986600 is an abundant number, since it is smaller than the sum of its proper divisors (280870950360).

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

79465986600 is a wasteful number, since it uses less digits than its factorization.

79465986600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 79465986600 in words is "seventy-nine billion, four hundred sixty-five million, nine hundred eighty-six thousand, six hundred".