761956461882 has 576 divisors, whose sum is σ = 2323244851200. Its totient is φ = 175565491200.

The previous prime is 761956461857. The next prime is 761956461887. The reversal of 761956461882 is 288164659167.

761956461882 is a `hidden beast` number, since 7 + 6 + 1 + 9 + 5 + 6 + 4 + 618 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (761956461887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1767880207 + ... + 1767880637.

It is an arithmetic number, because the mean of its divisors is an integer number (4033411200).

Almost surely, 2^761956461882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761956461882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161622425600).

761956461882 is an abundant number, since it is smaller than the sum of its proper divisors (1561288389318).

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

761956461882 is a wasteful number, since it uses less digits than its factorization.

761956461882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 849 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 761956461882 in words is "seven hundred sixty-one billion, nine hundred fifty-six million, four hundred sixty-one thousand, eight hundred eighty-two".