712655280 has 320 divisors, whose sum is σ = 2628403200. Its totient is φ = 177085440.

The previous prime is 712655269. The next prime is 712655291. The reversal of 712655280 is 82556217.

It is a happy number.

712655280 is a `hidden beast` number, since 7 + 1 + 26 + 552 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (712655269) and next prime (712655291).

It is a super-2 number, since 2×712655280² = 1015755096223756800, which contains 22 as substring.

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, 1941657 + ... + 1942023.

It is an arithmetic number, because the mean of its divisors is an integer number (8213760).

Almost surely, 2^712655280 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 712655280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314201600).

712655280 is an abundant number, since it is smaller than the sum of its proper divisors (1915747920).

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

712655280 is a wasteful number, since it uses less digits than its factorization.

712655280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 712655280 is about 26695.6041325159. The cubic root of 712655280 is about 893.2228731520. Note that the first 3 decimals are identical.

The spelling of 712655280 in words is "seven hundred twelve million, six hundred fifty-five thousand, two hundred eighty".