78252825600 has 264 divisors, whose sum is σ = 287368831920. Its totient is φ = 20867235840.

The previous prime is 78252825529. The next prime is 78252825631. The reversal of 78252825600 is 652825287.

78252825600 is a `hidden beast` number, since 7 + 8 + 2 + 5 + 2 + 82 + 560 + 0 = 666.

It is a super-2 number, since 2×78252825600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634594 + ... + 747806.

Almost surely, 2^78252825600 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 78252825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143684415960).

78252825600 is an abundant number, since it is smaller than the sum of its proper divisors (209116006320).

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

78252825600 is a wasteful number, since it uses less digits than its factorization.

78252825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113252 (or 113223 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 78252825600 in words is "seventy-eight billion, two hundred fifty-two million, eight hundred twenty-five thousand, six hundred".