78053152 has 48 divisors (see below), whose sum is σ = 160083000. Its totient is φ = 37416960.

The previous prime is 78053141. The next prime is 78053161. The reversal of 78053152 is 25135087.

It can be written as a sum of positive squares in 4 ways, for example, as 76807696 + 1245456 = 8764^2 + 1116^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223474 + ... + 223822.

Almost surely, 2^78053152 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 78053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80041500).

78053152 is an abundant number, since it is smaller than the sum of its proper divisors (82029848).

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

78053152 is a wasteful number, since it uses less digits than its factorization.

78053152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 78053152 is about 8834.7694933145. The cubic root of 78053152 is about 427.3628975668.

The spelling of 78053152 in words is "seventy-eight million, fifty-three thousand, one hundred fifty-two".