714792960 has 336 divisors, whose sum is σ = 2841991776. Its totient is φ = 162791424.

The previous prime is 714792959. The next prime is 714792971. The reversal of 714792960 is 69297417.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580342 + ... + 2580618.

Almost surely, 2^714792960 is an apocalyptic number.

714792960 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 714792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420995888).

714792960 is an abundant number, since it is smaller than the sum of its proper divisors (2127198816).

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

714792960 is a wasteful number, since it uses less digits than its factorization.

714792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 714792960 is about 26735.6122054461. The cubic root of 714792960 is about 894.1150851048.

The spelling of 714792960 in words is "seven hundred fourteen million, seven hundred ninety-two thousand, nine hundred sixty".