677590900 has 72 divisors (see below), whose sum is σ = 1701835520. Its totient is φ = 229357440.

The previous prime is 677590889. The next prime is 677590937. The reversal of 677590900 is 9095776.

677590900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×677590900³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49174 + ... + 61426.

Almost surely, 2^677590900 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 677590900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850917760).

677590900 is an abundant number, since it is smaller than the sum of its proper divisors (1024244620).

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

677590900 is a wasteful number, since it uses less digits than its factorization.

677590900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12353 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 43.

The square root of 677590900 is about 26030.5762517851. The cubic root of 677590900 is about 878.3262348295.

The spelling of 677590900 in words is "six hundred seventy-seven million, five hundred ninety thousand, nine hundred".