677062400 has 324 divisors, whose sum is σ = 2080366848. Its totient is φ = 216760320.

The previous prime is 677062381. The next prime is 677062411. The reversal of 677062400 is 4260776.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5331137 + ... + 5331263.

Almost surely, 2^677062400 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 677062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040183424).

677062400 is an abundant number, since it is smaller than the sum of its proper divisors (1403304448).

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

677062400 is a wasteful number, since it uses less digits than its factorization.

677062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 677062400 is about 26020.4227482952. The cubic root of 677062400 is about 878.0978196439.

The spelling of 677062400 in words is "six hundred seventy-seven million, sixty-two thousand, four hundred".