677787264 has 384 divisors, whose sum is σ = 2530644480. Its totient is φ = 175426560.

The previous prime is 677787241. The next prime is 677787281. The reversal of 677787264 is 462787776.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 677787264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2394867 + ... + 2395149.

It is an arithmetic number, because the mean of its divisors is an integer number (6590220).

Almost surely, 2^677787264 is an apocalyptic number.

677787264 is a gapful number since it is divisible by the number (64) 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 677787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265322240).

677787264 is an abundant number, since it is smaller than the sum of its proper divisors (1852857216).

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

677787264 is a wasteful number, since it uses less digits than its factorization.

677787264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The square root of 677787264 is about 26034.3477736624. The cubic root of 677787264 is about 878.4110721528.

The spelling of 677787264 in words is "six hundred seventy-seven million, seven hundred eighty-seven thousand, two hundred sixty-four".