761698080 has 576 divisors, whose sum is σ = 3189932928. Its totient is φ = 169205760.

The previous prime is 761698031. The next prime is 761698103. The reversal of 761698080 is 80896167.

It is a happy number.

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, 5559772 + ... + 5559908.

It is an arithmetic number, because the mean of its divisors is an integer number (5538078).

Almost surely, 2^761698080 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 761698080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594966464).

761698080 is an abundant number, since it is smaller than the sum of its proper divisors (2428234848).

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

761698080 is a wasteful number, since it uses less digits than its factorization.

761698080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

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

The square root of 761698080 is about 27598.8782380734. The cubic root of 761698080 is about 913.2596858701.

The spelling of 761698080 in words is "seven hundred sixty-one million, six hundred ninety-eight thousand, eighty".