677913600 has 528 divisors, whose sum is σ = 2786016128. Its totient is φ = 141557760.

The previous prime is 677913583. The next prime is 677913617. The reversal of 677913600 is 6319776.

It is an interprime number because it is at equal distance from previous prime (677913583) and next prime (677913617).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 6988752 + ... + 6988848.

Almost surely, 2^677913600 is an apocalyptic number.

677913600 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 677913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393008064).

677913600 is an abundant number, since it is smaller than the sum of its proper divisors (2108102528).

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

677913600 is a wasteful number, since it uses less digits than its factorization.

677913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 677913600 is about 26036.7739937190. The cubic root of 677913600 is about 878.4656458383.

The spelling of 677913600 in words is "six hundred seventy-seven million, nine hundred thirteen thousand, six hundred".