677693520 has 480 divisors, whose sum is σ = 2866780800. Its totient is φ = 146313216.

The previous prime is 677693479. The next prime is 677693557. The reversal of 677693520 is 25396776.

677693520 is a `hidden beast` number, since 67 + 7 + 69 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2010792 + ... + 2011128.

It is an arithmetic number, because the mean of its divisors is an integer number (5972460).

Almost surely, 2^677693520 is an apocalyptic number.

677693520 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 677693520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433390400).

677693520 is an abundant number, since it is smaller than the sum of its proper divisors (2189087280).

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

677693520 is a wasteful number, since it uses less digits than its factorization.

677693520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 677693520 is about 26032.5473206139. The cubic root of 677693520 is about 878.3705729340.

It can be divided in two parts, 67769 and 3520, that added together give a square (71289 = 267²).

The spelling of 677693520 in words is "six hundred seventy-seven million, six hundred ninety-three thousand, five hundred twenty".