760562560 has 64 divisors (see below), whose sum is σ = 1845461520. Its totient is φ = 299667456.

The previous prime is 760562557. The next prime is 760562563. The reversal of 760562560 is 65265067.

It is an interprime number because it is at equal distance from previous prime (760562557) and next prime (760562563).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760562563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34012 + ... + 51748.

Almost surely, 2^760562560 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 760562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922730760).

760562560 is an abundant number, since it is smaller than the sum of its proper divisors (1084898960).

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

760562560 is a wasteful number, since it uses less digits than its factorization.

760562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17823 (or 17811 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 760562560 is about 27578.2987147503. The cubic root of 760562560 is about 912.8056387806.

The spelling of 760562560 in words is "seven hundred sixty million, five hundred sixty-two thousand, five hundred sixty".