761480680 has 64 divisors (see below), whose sum is σ = 1770595200. Its totient is φ = 294577920.

The previous prime is 761480669. The next prime is 761480717. The reversal of 761480680 is 86084167.

761480680 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147991 + ... + 153049.

It is an arithmetic number, because the mean of its divisors is an integer number (27665550).

Almost surely, 2^761480680 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 761480680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885297600).

761480680 is an abundant number, since it is smaller than the sum of its proper divisors (1009114520).

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

761480680 is a wasteful number, since it uses less digits than its factorization.

761480680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 761480680 is about 27594.9393911275. The cubic root of 761480680 is about 913.1727916212.

The spelling of 761480680 in words is "seven hundred sixty-one million, four hundred eighty thousand, six hundred eighty".