677670840 has 512 divisors, whose sum is σ = 2923776000. Its totient is φ = 135475200.

The previous prime is 677670839. The next prime is 677670859. The reversal of 677670840 is 48076776.

677670840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2411500 + ... + 2411780.

It is an arithmetic number, because the mean of its divisors is an integer number (5710500).

Almost surely, 2^677670840 is an apocalyptic number.

677670840 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 677670840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461888000).

677670840 is an abundant number, since it is smaller than the sum of its proper divisors (2246105160).

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

677670840 is a wasteful number, since it uses less digits than its factorization.

677670840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 677670840 is about 26032.1117084266. Note that the first 3 decimals coincide. The cubic root of 677670840 is about 878.3607741748.

The spelling of 677670840 in words is "six hundred seventy-seven million, six hundred seventy thousand, eight hundred forty".