712884480 has 288 divisors, whose sum is σ = 2839753728. Its totient is φ = 148070400.

The previous prime is 712884451. The next prime is 712884521. The reversal of 712884480 is 84488217.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294475 + ... + 296885.

It is an arithmetic number, because the mean of its divisors is an integer number (9860256).

Almost surely, 2^712884480 is an apocalyptic number.

712884480 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 712884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419876864).

712884480 is an abundant number, since it is smaller than the sum of its proper divisors (2126869248).

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

712884480 is a wasteful number, since it uses less digits than its factorization.

712884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 712884480 is about 26699.8966290134. The cubic root of 712884480 is about 893.3186205839.

The spelling of 712884480 in words is "seven hundred twelve million, eight hundred eighty-four thousand, four hundred eighty".