676770400 has 72 divisors (see below), whose sum is σ = 1724045904. Its totient is φ = 258931200.

The previous prime is 676770383. The next prime is 676770431. The reversal of 676770400 is 4077676.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 676770400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10 + ... + 36790.

It is an arithmetic number, because the mean of its divisors is an integer number (23945082).

Almost surely, 2^676770400 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 676770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862022952).

676770400 is an abundant number, since it is smaller than the sum of its proper divisors (1047275504).

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

676770400 is a wasteful number, since it uses less digits than its factorization.

676770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36824 (or 36811 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 676770400 is about 26014.8111659493. The cubic root of 676770400 is about 877.9715676508.

The spelling of 676770400 in words is "six hundred seventy-six million, seven hundred seventy thousand, four hundred".