760472160 has 384 divisors, whose sum is σ = 2903040000. Its totient is φ = 167086080.

The previous prime is 760472149. The next prime is 760472183. The reversal of 760472160 is 61274067.

It is a super-2 number, since 2×760472160² = 1156635812270131200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5103766 + ... + 5103914.

It is an arithmetic number, because the mean of its divisors is an integer number (7560000).

Almost surely, 2^760472160 is an apocalyptic number.

760472160 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 760472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520000).

760472160 is an abundant number, since it is smaller than the sum of its proper divisors (2142567840).

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

760472160 is a wasteful number, since it uses less digits than its factorization.

760472160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 760472160 is about 27576.6596961996. The cubic root of 760472160 is about 912.7694721746.

The spelling of 760472160 in words is "seven hundred sixty million, four hundred seventy-two thousand, one hundred sixty".