78566558400 has 756 divisors, whose sum is σ = 311981769736. Its totient is φ = 18734284800.

The previous prime is 78566558341. The next prime is 78566558419. The reversal of 78566558400 is 485566587.

78566558400 is a `hidden beast` number, since 7 + 8 + 56 + 6 + 5 + 584 + 0 + 0 = 666.

It is a super-2 number, since 2×78566558400² (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 107 ways as a sum of consecutive naturals, for example, 116740464 + ... + 116741136.

Almost surely, 2^78566558400 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 78566558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990884868).

78566558400 is an abundant number, since it is smaller than the sum of its proper divisors (233415211336).

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

78566558400 is a wasteful number, since it uses less digits than its factorization.

78566558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 78566558400 in words is "seventy-eight billion, five hundred sixty-six million, five hundred fifty-eight thousand, four hundred".