677953920 has 256 divisors, whose sum is σ = 2507143680. Its totient is φ = 152616960.

The previous prime is 677953907. The next prime is 677953943. The reversal of 677953920 is 29359776.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 677953920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980775 + ... + 981465.

It is an arithmetic number, because the mean of its divisors is an integer number (9793530).

Almost surely, 2^677953920 is an apocalyptic number.

677953920 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 677953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253571840).

677953920 is an abundant number, since it is smaller than the sum of its proper divisors (1829189760).

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

677953920 is a wasteful number, since it uses less digits than its factorization.

677953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The square root of 677953920 is about 26037.5482716787. The cubic root of 677953920 is about 878.4830615447.

The spelling of 677953920 in words is "six hundred seventy-seven million, nine hundred fifty-three thousand, nine hundred twenty".