677765052 has 72 divisors (see below), whose sum is σ = 1750628880. Its totient is φ = 221045760.

The previous prime is 677765047. The next prime is 677765111. The reversal of 677765052 is 250567776.

677765052 is a `hidden beast` number, since 6 + 77 + 76 + 505 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 677764989 and 677765007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324652 + ... + 326732.

It is an arithmetic number, because the mean of its divisors is an integer number (24314290).

Almost surely, 2^677765052 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 677765052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875314440).

677765052 is an abundant number, since it is smaller than the sum of its proper divisors (1072863828).

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

677765052 is a wasteful number, since it uses less digits than its factorization.

677765052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The square root of 677765052 is about 26033.9211798761. The cubic root of 677765052 is about 878.4014764774.

The spelling of 677765052 in words is "six hundred seventy-seven million, seven hundred sixty-five thousand, fifty-two".