709121952 has 720 divisors, whose sum is σ = 2919913920. Its totient is φ = 164229120.

The previous prime is 709121923. The next prime is 709121953. The reversal of 709121952 is 259121907.

It is a super-3 number, since 3×709121952³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (709121953) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37322199 + ... + 37322217.

It is an arithmetic number, because the mean of its divisors is an integer number (4055436).

Almost surely, 2^709121952 is an apocalyptic number.

709121952 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 709121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459956960).

709121952 is an abundant number, since it is smaller than the sum of its proper divisors (2210791968).

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

709121952 is a wasteful number, since it uses less digits than its factorization.

709121952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 709121952 is about 26629.3438146718. The cubic root of 709121952 is about 891.7442341504.

The spelling of 709121952 in words is "seven hundred nine million, one hundred twenty-one thousand, nine hundred fifty-two".