711129312 has 144 divisors (see below), whose sum is σ = 2152567872. Its totient is φ = 221921280.

The previous prime is 711129311. The next prime is 711129319. The reversal of 711129312 is 213921117.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711129311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1649737 + ... + 1650167.

It is an arithmetic number, because the mean of its divisors is an integer number (14948388).

Almost surely, 2^711129312 is an apocalyptic number.

711129312 is a gapful number since it is divisible by the number (72) 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 711129312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076283936).

711129312 is an abundant number, since it is smaller than the sum of its proper divisors (1441438560).

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

711129312 is a wasteful number, since it uses less digits than its factorization.

711129312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 711129312 is about 26667.0079311497. The cubic root of 711129312 is about 892.5848818830.

The spelling of 711129312 in words is "seven hundred eleven million, one hundred twenty-nine thousand, three hundred twelve".