712514880 has 1008 divisors, whose sum is σ = 3414954816. Its totient is φ = 139345920.

The previous prime is 712514843. The next prime is 712514893. The reversal of 712514880 is 88415217.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41912632 + ... + 41912648.

It is an arithmetic number, because the mean of its divisors is an integer number (3387852).

Almost surely, 2^712514880 is an apocalyptic number.

712514880 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 712514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707477408).

712514880 is an abundant number, since it is smaller than the sum of its proper divisors (2702439936).

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

712514880 is a wasteful number, since it uses less digits than its factorization.

712514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 712514880 is about 26692.9743565606. The cubic root of 712514880 is about 893.1642114439.

The spelling of 712514880 in words is "seven hundred twelve million, five hundred fourteen thousand, eight hundred eighty".