677979456 has 224 divisors, whose sum is σ = 2260884480. Its totient is φ = 175633920.

The previous prime is 677979391. The next prime is 677979457. The reversal of 677979456 is 654979776.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×677979456² = 919312285516111872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 677979456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677979457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1788675 + ... + 1789053.

Almost surely, 2^677979456 is an apocalyptic number.

677979456 is a gapful number since it is divisible by the number (66) 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 677979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130442240).

677979456 is an abundant number, since it is smaller than the sum of its proper divisors (1582905024).

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

677979456 is a wasteful number, since it uses less digits than its factorization.

677979456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 402 counting only the distinct ones).

The product of its digits is 20003760, while the sum is 60.

The square root of 677979456 is about 26038.0386358113. The cubic root of 677979456 is about 878.4940911349.

The spelling of 677979456 in words is "six hundred seventy-seven million, nine hundred seventy-nine thousand, four hundred fifty-six".