78792278400 has 1152 divisors, whose sum is σ = 323902126080. Its totient is φ = 18063360000.

The previous prime is 78792278377. The next prime is 78792278401. The reversal of 78792278400 is 487229787.

78792278400 is a `hidden beast` number, since 7 + 8 + 7 + 9 + 227 + 8 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78792278401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 697276744 + ... + 697276856.

It is an arithmetic number, because the mean of its divisors is an integer number (281165040).

Almost surely, 2^78792278400 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 78792278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161951063040).

78792278400 is an abundant number, since it is smaller than the sum of its proper divisors (245109847680).

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

78792278400 is a wasteful number, since it uses less digits than its factorization.

78792278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 78792278400 in words is "seventy-eight billion, seven hundred ninety-two million, two hundred seventy-eight thousand, four hundred".