761230080 has 648 divisors, whose sum is σ = 3151014048. Its totient is φ = 168689664.

The previous prime is 761230061. The next prime is 761230133. The reversal of 761230080 is 80032167.

761230080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×761230080³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33096949 + ... + 33096971.

It is an arithmetic number, because the mean of its divisors is an integer number (4862676).

Almost surely, 2^761230080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575507024).

761230080 is an abundant number, since it is smaller than the sum of its proper divisors (2389783968).

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

761230080 is a wasteful number, since it uses less digits than its factorization.

761230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

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

The square root of 761230080 is about 27590.3983298538. The cubic root of 761230080 is about 913.0726068909.

The spelling of 761230080 in words is "seven hundred sixty-one million, two hundred thirty thousand, eighty".