79661753600 has 648 divisors, whose sum is σ = 240332935416. Its totient is φ = 25952256000.

The previous prime is 79661753593. The next prime is 79661753621. The reversal of 79661753600 is 635716697.

It can be written as a sum of positive squares in 12 ways, for example, as 66209465344 + 13452288256 = 257312^2 + 115984^2 .

It is a super-2 number, since 2×79661753600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 412755104 + ... + 412755296.

Almost surely, 2^79661753600 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 79661753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120166467708).

79661753600 is an abundant number, since it is smaller than the sum of its proper divisors (160671181816).

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

79661753600 is a wasteful number, since it uses less digits than its factorization.

79661753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 50.

The spelling of 79661753600 in words is "seventy-nine billion, six hundred sixty-one million, seven hundred fifty-three thousand, six hundred".