714960000 has 320 divisors, whose sum is σ = 2644778400. Its totient is φ = 190080000.

The previous prime is 714959941. The next prime is 714960017. The reversal of 714960000 is 69417.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×714960000² = 1022335603200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 2159835 + ... + 2160165.

Almost surely, 2^714960000 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 714960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322389200).

714960000 is an abundant number, since it is smaller than the sum of its proper divisors (1929818400).

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

714960000 is an equidigital number, since it uses as much as digits as its factorization.

714960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 714960000 is about 26738.7359461886. The cubic root of 714960000 is about 894.1847282787.

The spelling of 714960000 in words is "seven hundred fourteen million, nine hundred sixty thousand".