677547752 has 64 divisors (see below), whose sum is σ = 1533168000. Its totient is φ = 274219776.

The previous prime is 677547727. The next prime is 677547763. The reversal of 677547752 is 257745776.

It is a happy number.

Its product of digits (2881200) is a multiple of the sum of its prime factors (2058).

It is a self number, because there is not a number n which added to its sum of digits gives 677547752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413078 + ... + 414714.

It is an arithmetic number, because the mean of its divisors is an integer number (23955750).

Almost surely, 2^677547752 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 677547752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766584000).

677547752 is an abundant number, since it is smaller than the sum of its proper divisors (855620248).

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

677547752 is a wasteful number, since it uses less digits than its factorization.

677547752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2054 counting only the distinct ones).

The product of its digits is 2881200, while the sum is 50.

The square root of 677547752 is about 26029.7474440303. The cubic root of 677547752 is about 878.3075909226.

The spelling of 677547752 in words is "six hundred seventy-seven million, five hundred forty-seven thousand, seven hundred fifty-two".