78292920 has 128 divisors (see below), whose sum is σ = 258163200. Its totient is φ = 18906624.

The previous prime is 78292919. The next prime is 78292933. The reversal of 78292920 is 2929287.

It is a super-2 number, since 2×78292920² = 12259562644252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51694 + ... + 53186.

It is an arithmetic number, because the mean of its divisors is an integer number (2016900).

Almost surely, 2^78292920 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 78292920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129081600).

78292920 is an abundant number, since it is smaller than the sum of its proper divisors (179870280).

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

78292920 is a wasteful number, since it uses less digits than its factorization.

78292920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 78292920 is about 8848.3286557406. The cubic root of 78292920 is about 427.8000492643.

The spelling of 78292920 in words is "seventy-eight million, two hundred ninety-two thousand, nine hundred twenty".