714370800 has 480 divisors, whose sum is σ = 2820819456. Its totient is φ = 152064000.

The previous prime is 714370781. The next prime is 714370801. The reversal of 714370800 is 8073417.

It is a happy number.

714370800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714370801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3946710 + ... + 3946890.

Almost surely, 2^714370800 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 714370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410409728).

714370800 is an abundant number, since it is smaller than the sum of its proper divisors (2106448656).

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

714370800 is a wasteful number, since it uses less digits than its factorization.

714370800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 714370800 is about 26727.7159517981. The cubic root of 714370800 is about 893.9390276170.

The spelling of 714370800 in words is "seven hundred fourteen million, three hundred seventy thousand, eight hundred".