714890880 has 256 divisors, whose sum is σ = 2762812800. Its totient is φ = 173260800.

The previous prime is 714890879. The next prime is 714890881. The reversal of 714890880 is 88098417.

It is an interprime number because it is at equal distance from previous prime (714890879) and next prime (714890881).

It is a super-2 number, since 2×714890880² = 1022137940614348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (714890881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 188200 + ... + 191960.

Almost surely, 2^714890880 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 714890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381406400).

714890880 is an abundant number, since it is smaller than the sum of its proper divisors (2047921920).

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

714890880 is a wasteful number, since it uses less digits than its factorization.

714890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 714890880 is about 26737.4434080748. The cubic root of 714890880 is about 894.1559117294.

The spelling of 714890880 in words is "seven hundred fourteen million, eight hundred ninety thousand, eight hundred eighty".