761080320 has 960 divisors, whose sum is σ = 3657265920. Its totient is φ = 145981440.

The previous prime is 761080319. The next prime is 761080339. The reversal of 761080320 is 23080167.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58544634 + ... + 58544646.

It is an arithmetic number, because the mean of its divisors is an integer number (3809652).

Almost surely, 2^761080320 is an apocalyptic number.

761080320 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 761080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828632960).

761080320 is an abundant number, since it is smaller than the sum of its proper divisors (2896185600).

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

761080320 is a wasteful number, since it uses less digits than its factorization.

761080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 761080320 is about 27587.6842087189. The cubic root of 761080320 is about 913.0127254238.

The spelling of 761080320 in words is "seven hundred sixty-one million, eighty thousand, three hundred twenty".