760220160 has 320 divisors, whose sum is σ = 2828390400. Its totient is φ = 170606592.

The previous prime is 760220119. The next prime is 760220171. The reversal of 760220160 is 61022067.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 760220160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4246951 + ... + 4247129.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 2^760220160 is an apocalyptic number.

760220160 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 760220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414195200).

760220160 is an abundant number, since it is smaller than the sum of its proper divisors (2068170240).

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

760220160 is a wasteful number, since it uses less digits than its factorization.

760220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 760220160 is about 27572.0902363241. The cubic root of 760220160 is about 912.6686386263.

The spelling of 760220160 in words is "seven hundred sixty million, two hundred twenty thousand, one hundred sixty".