760612160 has 112 divisors (see below), whose sum is σ = 2258202240. Its totient is φ = 237066240.

The previous prime is 760612157. The next prime is 760612163. The reversal of 760612160 is 61216067.

It is an interprime number because it is at equal distance from previous prime (760612157) and next prime (760612163).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760612163) 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, 9206 + ... + 40074.

It is an arithmetic number, because the mean of its divisors is an integer number (20162520).

Almost surely, 2^760612160 is an apocalyptic number.

760612160 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 760612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129101120).

760612160 is an abundant number, since it is smaller than the sum of its proper divisors (1497590080).

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

760612160 is a wasteful number, since it uses less digits than its factorization.

760612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30904 (or 30894 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 760612160 is about 27579.1979578812. The cubic root of 760612160 is about 912.8254811876.

The spelling of 760612160 in words is "seven hundred sixty million, six hundred twelve thousand, one hundred sixty".