760290720 has 192 divisors, whose sum is σ = 2776467456. Its totient is φ = 171279360.

The previous prime is 760290703. The next prime is 760290721. The reversal of 760290720 is 27092067.

It is not an unprimeable number, because it can be changed into a prime (760290721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236967 + ... + 240153.

It is an arithmetic number, because the mean of its divisors is an integer number (14460768).

Almost surely, 2^760290720 is an apocalyptic number.

760290720 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 760290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388233728).

760290720 is an abundant number, since it is smaller than the sum of its proper divisors (2016176736).

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

760290720 is a wasteful number, since it uses less digits than its factorization.

760290720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 760290720 is about 27573.3697614202. The cubic root of 760290720 is about 912.6968742657.

The spelling of 760290720 in words is "seven hundred sixty million, two hundred ninety thousand, seven hundred twenty".