78753792 has 208 divisors, whose sum is σ = 247695840. Its totient is φ = 22020096.

The previous prime is 78753761. The next prime is 78753793. The reversal of 78753792 is 29735787.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (78753793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2715634 + ... + 2715662.

Almost surely, 2^78753792 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 78753792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123847920).

78753792 is an abundant number, since it is smaller than the sum of its proper divisors (168942048).

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

78753792 is a wasteful number, since it uses less digits than its factorization.

78753792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its digits is 740880, while the sum is 48.

The square root of 78753792 is about 8874.3333270731. Note that the first 4 decimals coincide. The cubic root of 78753792 is about 428.6378238721.

The spelling of 78753792 in words is "seventy-eight million, seven hundred fifty-three thousand, seven hundred ninety-two".