760825920 has 112 divisors (see below), whose sum is σ = 2422428480. Its totient is φ = 202315776.

The previous prime is 760825913. The next prime is 760825921. The reversal of 760825920 is 29528067.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (760825921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424386 + ... + 426174.

Almost surely, 2^760825920 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 760825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211214240).

760825920 is an abundant number, since it is smaller than the sum of its proper divisors (1661602560).

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

760825920 is a wasteful number, since it uses less digits than its factorization.

760825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 760825920 is about 27583.0730702726. The cubic root of 760825920 is about 912.9109856925.

The spelling of 760825920 in words is "seven hundred sixty million, eight hundred twenty-five thousand, nine hundred twenty".