677276964 has 432 divisors, whose sum is σ = 2387374080. Its totient is φ = 163762560.

The previous prime is 677276959. The next prime is 677276969. The reversal of 677276964 is 469672776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (677276959) and next prime (677276969).

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 677276964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677276969) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21847629 + ... + 21847659.

Almost surely, 2^677276964 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 677276964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193687040).

677276964 is an abundant number, since it is smaller than the sum of its proper divisors (1710097116).

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

677276964 is a wasteful number, since it uses less digits than its factorization.

677276964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 677276964 is about 26024.5454138972. The cubic root of 677276964 is about 878.1905675116.

It can be divided in two parts, 67727 and 6964, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 677276964 in words is "six hundred seventy-seven million, two hundred seventy-six thousand, nine hundred sixty-four".