712434320 has 160 divisors (see below), whose sum is σ = 1856131200. Its totient is φ = 252628992.

The previous prime is 712434301. The next prime is 712434337. The reversal of 712434320 is 23434217.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 712434320.

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, 3979991 + ... + 3980169.

It is an arithmetic number, because the mean of its divisors is an integer number (11600820).

Almost surely, 2^712434320 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 712434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928065600).

712434320 is an abundant number, since it is smaller than the sum of its proper divisors (1143696880).

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

712434320 is a wasteful number, since it uses less digits than its factorization.

712434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 712434320 is about 26691.4653026019. The cubic root of 712434320 is about 893.1305485115.

Adding to 712434320 its reverse (23434217), we get a palindrome (735868537).

The spelling of 712434320 in words is "seven hundred twelve million, four hundred thirty-four thousand, three hundred twenty".