761008480164 has 81 divisors (see below), whose sum is σ = 1933835323147. Its totient is φ = 252334785648.

The previous prime is 761008480103. The next prime is 761008480171. The reversal of 761008480164 is 461084800167.

The square root of 761008480164 is 872358.

It is a perfect power (a square), and thus also a powerful number.

761008480164 is a `hidden beast` number, since 7 + 6 + 1 + 0 + 0 + 8 + 480 + 164 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1816249147 + ... + 1816249565.

Almost surely, 2^761008480164 is an apocalyptic number.

761008480164 is the 872358-th square number.

It is an amenable number.

761008480164 is an abundant number, since it is smaller than the sum of its proper divisors (1172826842983).

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

761008480164 is an equidigital number, since it uses as much as digits as its factorization.

761008480164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 761008480164 in words is "seven hundred sixty-one billion, eight million, four hundred eighty thousand, one hundred sixty-four".