677990400 has 156 divisors (see below), whose sum is σ = 2242630272. Its totient is φ = 180715520.

The previous prime is 677990387. The next prime is 677990419. The reversal of 677990400 is 4099776.

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, 306097 + ... + 308303.

Almost surely, 2^677990400 is an apocalyptic number.

677990400 is a gapful number since it is divisible by the number (60) 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 677990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121315136).

677990400 is an abundant number, since it is smaller than the sum of its proper divisors (1564639872).

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

677990400 is a wasteful number, since it uses less digits than its factorization.

677990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 677990400 is about 26038.2487890411. The cubic root of 677990400 is about 878.4988180174.

It can be divided in two parts, 6779 and 90400, that added together give a palindrome (97179).

The spelling of 677990400 in words is "six hundred seventy-seven million, nine hundred ninety thousand, four hundred".