714129920 has 120 divisors (see below), whose sum is σ = 1992137004. Its totient is φ = 244801536.

The previous prime is 714129917. The next prime is 714129947. The reversal of 714129920 is 29921417.

It can be written as a sum of positive squares in 2 ways, for example, as 657819904 + 56310016 = 25648^2 + 7504^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122594 + ... + 128286.

Almost surely, 2^714129920 is an apocalyptic number.

714129920 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 714129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996068502).

714129920 is an abundant number, since it is smaller than the sum of its proper divisors (1278007084).

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

714129920 is an equidigital number, since it uses as much as digits as its factorization.

714129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 714129920 is about 26723.2093880956. The cubic root of 714129920 is about 893.8385400083.

The spelling of 714129920 in words is "seven hundred fourteen million, one hundred twenty-nine thousand, nine hundred twenty".