677398800 has 240 divisors, whose sum is σ = 2359723968. Its totient is φ = 165120000.

The previous prime is 677398781. The next prime is 677398817. The reversal of 677398800 is 8893776.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 677398800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2698675 + ... + 2698925.

Almost surely, 2^677398800 is an apocalyptic number.

677398800 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 677398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179861984).

677398800 is an abundant number, since it is smaller than the sum of its proper divisors (1682325168).

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

677398800 is a wasteful number, since it uses less digits than its factorization.

677398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 677398800 is about 26026.8860988018. The cubic root of 677398800 is about 878.2432238676.

The spelling of 677398800 in words is "six hundred seventy-seven million, three hundred ninety-eight thousand, eight hundred".