677458872 has 72 divisors (see below), whose sum is σ = 1896073920. Its totient is φ = 218512800.

The previous prime is 677458861. The next prime is 677458883. The reversal of 677458872 is 278854776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (677458861) and next prime (677458883).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64297 + ... + 74087.

It is an arithmetic number, because the mean of its divisors is an integer number (26334360).

Almost surely, 2^677458872 is an apocalyptic number.

677458872 is a gapful number since it is divisible by the number (62) 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 677458872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948036960).

677458872 is an abundant number, since it is smaller than the sum of its proper divisors (1218615048).

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

677458872 is a wasteful number, since it uses less digits than its factorization.

677458872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9865 (or 9827 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 677458872 is about 26028.0401106192. The cubic root of 677458872 is about 878.2691840885.

The spelling of 677458872 in words is "six hundred seventy-seven million, four hundred fifty-eight thousand, eight hundred seventy-two".