78315552000 has 1152 divisors, whose sum is σ = 345291448320. Its totient is φ = 17091993600.

The previous prime is 78315551987. The next prime is 78315552031. The reversal of 78315552000 is 25551387.

78315552000 is a `hidden beast` number, since 7 + 83 + 1 + 55 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×78315552000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139103719 + ... + 139104281.

It is an arithmetic number, because the mean of its divisors is an integer number (299732160).

Almost surely, 2^78315552000 is an apocalyptic number.

78315552000 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 78315552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172645724160).

78315552000 is an abundant number, since it is smaller than the sum of its proper divisors (266975896320).

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

78315552000 is a wasteful number, since it uses less digits than its factorization.

78315552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 78315552000 in words is "seventy-eight billion, three hundred fifteen million, five hundred fifty-two thousand".