78753022920 has 1152 divisors, whose sum is σ = 332820109440. Its totient is φ = 15864791040.

The previous prime is 78753022913. The next prime is 78753022921. The reversal of 78753022920 is 2922035787.

78753022920 is a `hidden beast` number, since 7 + 8 + 7 + 530 + 22 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78753022921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 736009507 + ... + 736009613.

It is an arithmetic number, because the mean of its divisors is an integer number (288906345).

Almost surely, 2^78753022920 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 78753022920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166410054720).

78753022920 is an abundant number, since it is smaller than the sum of its proper divisors (254067086520).

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

78753022920 is a wasteful number, since it uses less digits than its factorization.

78753022920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 78753022920 in words is "seventy-eight billion, seven hundred fifty-three million, twenty-two thousand, nine hundred twenty".