677603840 has 80 divisors (see below), whose sum is σ = 1710292320. Its totient is φ = 256757760.

The previous prime is 677603837. The next prime is 677603891. The reversal of 677603840 is 48306776.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×677603840³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41675 + ... + 55605.

It is an arithmetic number, because the mean of its divisors is an integer number (21378654).

Almost surely, 2^677603840 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 677603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855146160).

677603840 is an abundant number, since it is smaller than the sum of its proper divisors (1032688480).

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

677603840 is a wasteful number, since it uses less digits than its factorization.

677603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13973 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 677603840 is about 26030.8248044506. The cubic root of 677603840 is about 878.3318259460.

The spelling of 677603840 in words is "six hundred seventy-seven million, six hundred three thousand, eight hundred forty".