714820680 has 256 divisors, whose sum is σ = 2842214400. Its totient is φ = 156245760.

The previous prime is 714820633. The next prime is 714820693. The reversal of 714820680 is 86028417.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 171825 + ... + 175935.

It is an arithmetic number, because the mean of its divisors is an integer number (11102400).

Almost surely, 2^714820680 is an apocalyptic number.

714820680 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 714820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421107200).

714820680 is an abundant number, since it is smaller than the sum of its proper divisors (2127393720).

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

714820680 is a wasteful number, since it uses less digits than its factorization.

714820680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 714820680 is about 26736.1306100939. The cubic root of 714820680 is about 894.1266430203.

The spelling of 714820680 in words is "seven hundred fourteen million, eight hundred twenty thousand, six hundred eighty".