714208320 has 448 divisors, whose sum is σ = 2950464000. Its totient is φ = 162570240.

The previous prime is 714208307. The next prime is 714208333. The reversal of 714208320 is 23802417.

It is an interprime number because it is at equal distance from previous prime (714208307) and next prime (714208333).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963400 + ... + 2963640.

Almost surely, 2^714208320 is an apocalyptic number.

714208320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475232000).

714208320 is an abundant number, since it is smaller than the sum of its proper divisors (2236255680).

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

714208320 is a wasteful number, since it uses less digits than its factorization.

714208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 714208320 is about 26724.6762375150. The cubic root of 714208320 is about 893.8712485185.

The spelling of 714208320 in words is "seven hundred fourteen million, two hundred eight thousand, three hundred twenty".