761680402560 has 2560 divisors, whose sum is σ = 3642647500800. Its totient is φ = 148134666240.

The previous prime is 761680402547. The next prime is 761680402631. The reversal of 761680402560 is 65204086167.

761680402560 is a `hidden beast` number, since 7 + 6 + 1 + 6 + 80 + 4 + 0 + 2 + 560 = 666.

It is a super-3 number, since 3×761680402560³ (a number of 37 digits) contains 333 as substring.

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 319 ways as a sum of consecutive naturals, for example, 9176872279 + ... + 9176872361.

It is an arithmetic number, because the mean of its divisors is an integer number (1422909180).

Almost surely, 2^761680402560 is an apocalyptic number.

761680402560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761680402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821323750400).

761680402560 is an abundant number, since it is smaller than the sum of its proper divisors (2880967098240).

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

761680402560 is a wasteful number, since it uses less digits than its factorization.

761680402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 761680402560 in words is "seven hundred sixty-one billion, six hundred eighty million, four hundred two thousand, five hundred sixty".