78526756800 has 672 divisors, whose sum is σ = 311810400000. Its totient is φ = 19148451840.

The previous prime is 78526756799. The next prime is 78526756807. The reversal of 78526756800 is 865762587.

78526756800 is a `hidden beast` number, since 78 + 5 + 2 + 6 + 7 + 568 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78526756807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23801551 + ... + 23804849.

Almost surely, 2^78526756800 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 78526756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155905200000).

78526756800 is an abundant number, since it is smaller than the sum of its proper divisors (233283643200).

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

78526756800 is a wasteful number, since it uses less digits than its factorization.

78526756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 78526756800 in words is "seventy-eight billion, five hundred twenty-six million, seven hundred fifty-six thousand, eight hundred".