677709824 has 96 divisors (see below), whose sum is σ = 1503684000. Its totient is φ = 302776320.

The previous prime is 677709763. The next prime is 677709833. The reversal of 677709824 is 428907776.

It is a super-2 number, since 2×677709824² = 918581211092221952, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1509152 + ... + 1509600.

It is an arithmetic number, because the mean of its divisors is an integer number (15663375).

Almost surely, 2^677709824 is an apocalyptic number.

677709824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677709824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751842000).

677709824 is an abundant number, since it is smaller than the sum of its proper divisors (825974176).

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

677709824 is a wasteful number, since it uses less digits than its factorization.

677709824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 50.

The square root of 677709824 is about 26032.8604651890. The cubic root of 677709824 is about 878.3776168452.

The spelling of 677709824 in words is "six hundred seventy-seven million, seven hundred nine thousand, eight hundred twenty-four".