78313872 has 80 divisors (see below), whose sum is σ = 249011840. Its totient is φ = 20653056.

The previous prime is 78313861. The next prime is 78313897. The reversal of 78313872 is 27831387.

It is a super-2 number, since 2×78313872² = 12266125095264768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 78313872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4597 + ... + 13332.

It is an arithmetic number, because the mean of its divisors is an integer number (3112648).

Almost surely, 2^78313872 is an apocalyptic number.

It is an amenable number.

78313872 is an abundant number, since it is smaller than the sum of its proper divisors (170697968).

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

78313872 is a wasteful number, since it uses less digits than its factorization.

78313872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17960 (or 17954 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 78313872 is about 8849.5125289476. The cubic root of 78313872 is about 427.8382071088.

The spelling of 78313872 in words is "seventy-eight million, three hundred thirteen thousand, eight hundred seventy-two".