780057 has 16 divisors (see below), whose sum is σ = 1169280. Its totient is φ = 513936.

The previous prime is 780049. The next prime is 780061. The reversal of 780057 is 750087.

It is not a de Polignac number, because 780057 - 2³ = 780049 is a prime.

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

780057 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 780057.

It is not an unprimeable number, because it can be changed into a prime (780037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (73080).

2⁷⁸⁰⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

780057 is a deficient number, since it is larger than the sum of its proper divisors (389223).

780057 is a wasteful number, since it uses less digits than its factorization.

780057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

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

The square root of 780057 is about 883.2083559387. The cubic root of 780057 is about 92.0538830541.

The spelling of 780057 in words is "seven hundred eighty thousand, fifty-seven".