677456512 has 32 divisors (see below), whose sum is σ = 1358716500. Its totient is φ = 336445440.

The previous prime is 677456509. The next prime is 677456567. The reversal of 677456512 is 215654776.

It can be written as a sum of positive squares in 2 ways, for example, as 677248576 + 207936 = 26024^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×677456512² = 917894651302412288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1312 + ... + 36832.

Almost surely, 2^677456512 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 677456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679358250).

677456512 is an abundant number, since it is smaller than the sum of its proper divisors (681259988).

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

677456512 is a wasteful number, since it uses less digits than its factorization.

677456512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35684 (or 35672 counting only the distinct ones).

The product of its digits is 352800, while the sum is 43.

The square root of 677456512 is about 26027.9947748573. The cubic root of 677456512 is about 878.2681642393.

The spelling of 677456512 in words is "six hundred seventy-seven million, four hundred fifty-six thousand, five hundred twelve".