677867520 has 416 divisors, whose sum is σ = 2547728640. Its totient is φ = 152043520.

The previous prime is 677867507. The next prime is 677867551. The reversal of 677867520 is 25768776.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 677867520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11489251 + ... + 11489309.

Almost surely, 2^677867520 is an apocalyptic number.

677867520 is a gapful number since it is divisible by the number (60) 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 677867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273864320).

677867520 is an abundant number, since it is smaller than the sum of its proper divisors (1869861120).

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

677867520 is a wasteful number, since it uses less digits than its factorization.

677867520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The square root of 677867520 is about 26035.8890764268. The cubic root of 677867520 is about 878.4457413283.

The spelling of 677867520 in words is "six hundred seventy-seven million, eight hundred sixty-seven thousand, five hundred twenty".