677912400 has 720 divisors, whose sum is σ = 2914367040. Its totient is φ = 143769600.

The previous prime is 677912393. The next prime is 677912401. The reversal of 677912400 is 4219776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677912401) 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, 12790774 + ... + 12790826.

It is an arithmetic number, because the mean of its divisors is an integer number (4047732).

Almost surely, 2^677912400 is an apocalyptic number.

677912400 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 677912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457183520).

677912400 is an abundant number, since it is smaller than the sum of its proper divisors (2236454640).

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

677912400 is a wasteful number, since it uses less digits than its factorization.

677912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 677912400 is about 26036.7509493792. The cubic root of 677912400 is about 878.4651275031.

The spelling of 677912400 in words is "six hundred seventy-seven million, nine hundred twelve thousand, four hundred".