78157952 has 32 divisors (see below), whose sum is σ = 156877020. Its totient is φ = 38785024.

The previous prime is 78157943. The next prime is 78157957. The reversal of 78157952 is 25975187.

It can be written as a sum of positive squares in 2 ways, for example, as 76457536 + 1700416 = 8744^2 + 1304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×78157952² = 12217330921668608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78157957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15308 + ... + 19764.

Almost surely, 2^78157952 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 78157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78438510).

78157952 is an abundant number, since it is smaller than the sum of its proper divisors (78719068).

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

78157952 is a wasteful number, since it uses less digits than its factorization.

78157952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4596 counting only the distinct ones).

The product of its digits is 176400, while the sum is 44.

The square root of 78157952 is about 8840.6986149286. The cubic root of 78157952 is about 427.5540818234.

The spelling of 78157952 in words is "seventy-eight million, one hundred fifty-seven thousand, nine hundred fifty-two".