714916800 has 672 divisors, whose sum is σ = 2998419200. Its totient is φ = 164229120.

The previous prime is 714916789. The next prime is 714916831. The reversal of 714916800 is 8619417.

It is a super-2 number, since 2×714916800² = 1022212061844480000, which contains 22 as substring.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10670367 + ... + 10670433.

Almost surely, 2^714916800 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 714916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499209600).

714916800 is an abundant number, since it is smaller than the sum of its proper divisors (2283502400).

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

714916800 is a wasteful number, since it uses less digits than its factorization.

714916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 714916800 is about 26737.9281171896. The cubic root of 714916800 is about 894.1667181531.

It can be divided in two parts, 714916 and 800, that added together give a square (715716 = 846²).

The spelling of 714916800 in words is "seven hundred fourteen million, nine hundred sixteen thousand, eight hundred".