677721600 has 480 divisors, whose sum is σ = 2603003040. Its totient is φ = 172523520.

The previous prime is 677721553. The next prime is 677721617. The reversal of 677721600 is 6127776.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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, 12787174 + ... + 12787226.

It is an arithmetic number, because the mean of its divisors is an integer number (5422923).

Almost surely, 2^677721600 is an apocalyptic number.

677721600 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 677721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301501520).

677721600 is an abundant number, since it is smaller than the sum of its proper divisors (1925281440).

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

677721600 is a wasteful number, since it uses less digits than its factorization.

677721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 677721600 is about 26033.0866398896. The cubic root of 677721600 is about 878.3827044282.

The spelling of 677721600 in words is "six hundred seventy-seven million, seven hundred twenty-one thousand, six hundred".