677300400 has 720 divisors, whose sum is σ = 3021076480. Its totient is φ = 141004800.

The previous prime is 677300359. The next prime is 677300401. The reversal of 677300400 is 4003776.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677300401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21848385 + ... + 21848415.

Almost surely, 2^677300400 is an apocalyptic number.

677300400 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 677300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510538240).

677300400 is an abundant number, since it is smaller than the sum of its proper divisors (2343776080).

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

677300400 is a wasteful number, since it uses less digits than its factorization.

677300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 677300400 is about 26024.9956772331. The cubic root of 677300400 is about 878.2006968175.

The spelling of 677300400 in words is "six hundred seventy-seven million, three hundred thousand, four hundred".