714880000 has 110 divisors (see below), whose sum is σ = 1787354426. Its totient is φ = 285696000.

The previous prime is 714879989. The next prime is 714880007. The reversal of 714880000 is 88417.

It can be written as a sum of positive squares in 5 ways, for example, as 481890304 + 232989696 = 21952^2 + 15264^2 .

It is a super-2 number, since 2×714880000² = 1022106828800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714880007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639442 + ... + 640558.

Almost surely, 2^714880000 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 714880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893677213).

714880000 is an abundant number, since it is smaller than the sum of its proper divisors (1072474426).

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

714880000 is an equidigital number, since it uses as much as digits as its factorization.

714880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 714880000 is about 26737.2399473094. The cubic root of 714880000 is about 894.1513756219.

The spelling of 714880000 in words is "seven hundred fourteen million, eight hundred eighty thousand".