761647680 has 336 divisors, whose sum is σ = 2852928000. Its totient is φ = 185794560.

The previous prime is 761647669. The next prime is 761647681. The reversal of 761647680 is 86746167.

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

It is not an unprimeable number, because it can be changed into a prime (761647681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1696096 + ... + 1696544.

Almost surely, 2^761647680 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 761647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426464000).

761647680 is an abundant number, since it is smaller than the sum of its proper divisors (2091280320).

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

761647680 is a wasteful number, since it uses less digits than its factorization.

761647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 761647680 is about 27597.9651423796. The cubic root of 761647680 is about 913.2395425856.

The spelling of 761647680 in words is "seven hundred sixty-one million, six hundred forty-seven thousand, six hundred eighty".