78057 has 24 divisors (see below), whose sum is σ = 136800. Its totient is φ = 43848.

The previous prime is 78049. The next prime is 78059. The reversal of 78057 is 75087.

It is not a de Polignac number, because 78057 - 2³ = 78049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 78057.

It is not an unprimeable number, because it can be changed into a prime (78059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1294 + ... + 1352.

It is an arithmetic number, because the mean of its divisors is an integer number (5700).

2⁷⁸⁰⁵⁷ is an apocalyptic number.

78057 is the 177-th heptagonal number.

It is an amenable number.

78057 is a deficient number, since it is larger than the sum of its proper divisors (58743).

78057 is a wasteful number, since it uses less digits than its factorization.

78057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 78057 is about 279.3868286087. The cubic root of 78057 is about 42.7369920411.

The spelling of 78057 in words is "seventy-eight thousand, fifty-seven".