760072320 has 288 divisors, whose sum is σ = 3054268620. Its totient is φ = 173666304.

The previous prime is 760072319. The next prime is 760072337. The reversal of 760072320 is 23270067.

It can be written as a sum of positive squares in 2 ways, for example, as 749883456 + 10188864 = 27384^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280894 + ... + 283586.

Almost surely, 2^760072320 is an apocalyptic number.

760072320 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 760072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527134310).

760072320 is an abundant number, since it is smaller than the sum of its proper divisors (2294196300).

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

760072320 is a wasteful number, since it uses less digits than its factorization.

760072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 760072320 is about 27569.4091340384. The cubic root of 760072320 is about 912.6094725732.

The spelling of 760072320 in words is "seven hundred sixty million, seventy-two thousand, three hundred twenty".