760713120 has 240 divisors, whose sum is σ = 2722325760. Its totient is φ = 200019456.

The previous prime is 760713097. The next prime is 760713131. The reversal of 760713120 is 21317067.

760713120 is a `hidden beast` number, since 7 + 607 + 1 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1023469 + ... + 1024211.

It is an arithmetic number, because the mean of its divisors is an integer number (11343024).

Almost surely, 2^760713120 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 760713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361162880).

760713120 is an abundant number, since it is smaller than the sum of its proper divisors (1961612640).

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

760713120 is a wasteful number, since it uses less digits than its factorization.

760713120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 760713120 is about 27581.0282621950. The cubic root of 760713120 is about 912.8658674221.

The spelling of 760713120 in words is "seven hundred sixty million, seven hundred thirteen thousand, one hundred twenty".