677789952 has 288 divisors, whose sum is σ = 2197708800. Its totient is φ = 185149440.

The previous prime is 677789947. The next prime is 677789963. The reversal of 677789952 is 259987776.

Its product of digits (13335840) is a multiple of the sum of its prime divisors (126).

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, 8166103 + ... + 8166185.

Almost surely, 2^677789952 is an apocalyptic number.

677789952 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 677789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098854400).

677789952 is an abundant number, since it is smaller than the sum of its proper divisors (1519918848).

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

677789952 is an equidigital number, since it uses as much as digits as its factorization.

677789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 60.

The square root of 677789952 is about 26034.3993977199. The cubic root of 677789952 is about 878.4122333657.

The spelling of 677789952 in words is "six hundred seventy-seven million, seven hundred eighty-nine thousand, nine hundred fifty-two".