78452920 has 96 divisors (see below), whose sum is σ = 221205600. Its totient is φ = 24820992.

The previous prime is 78452911. The next prime is 78452939. The reversal of 78452920 is 2925487.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78452920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23941 + ... + 27019.

It is an arithmetic number, because the mean of its divisors is an integer number (2304225).

Almost surely, 2^78452920 is an apocalyptic number.

78452920 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 78452920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110602800).

78452920 is an abundant number, since it is smaller than the sum of its proper divisors (142752680).

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

78452920 is a wasteful number, since it uses less digits than its factorization.

78452920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 78452920 is about 8857.3652967460. The cubic root of 78452920 is about 428.0912694402.

The spelling of 78452920 in words is "seventy-eight million, four hundred fifty-two thousand, nine hundred twenty".