78037920 has 72 divisors (see below), whose sum is σ = 266309316. Its totient is φ = 20809728.

The previous prime is 78037909. The next prime is 78037937. The reversal of 78037920 is 2973087.

It can be written as a sum of positive squares in 2 ways, for example, as 76947984 + 1089936 = 8772^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×78037920³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25657 + ... + 28536.

Almost surely, 2^78037920 is an apocalyptic number.

It is an amenable number.

78037920 is an abundant number, since it is smaller than the sum of its proper divisors (188271396).

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

78037920 is a wasteful number, since it uses less digits than its factorization.

78037920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54214 (or 54203 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 78037920 is about 8833.9074027296. The cubic root of 78037920 is about 427.3350959343.

The spelling of 78037920 in words is "seventy-eight million, thirty-seven thousand, nine hundred twenty".