761089680 has 480 divisors, whose sum is σ = 2955144192. Its totient is φ = 174182400.

The previous prime is 761089673. The next prime is 761089697. The reversal of 761089680 is 86980167.

It is a happy number.

761089680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12476850 + ... + 12476910.

Almost surely, 2^761089680 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 761089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477572096).

761089680 is an abundant number, since it is smaller than the sum of its proper divisors (2194054512).

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

761089680 is a wasteful number, since it uses less digits than its factorization.

761089680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 761089680 is about 27587.8538491127. The cubic root of 761089680 is about 913.0164682456.

The spelling of 761089680 in words is "seven hundred sixty-one million, eighty-nine thousand, six hundred eighty".