761566416 has 80 divisors (see below), whose sum is σ = 2133196800. Its totient is φ = 232727040.

The previous prime is 761566397. The next prime is 761566451. The reversal of 761566416 is 614665167.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 88881 + ... + 97071.

It is an arithmetic number, because the mean of its divisors is an integer number (26664960).

Almost surely, 2^761566416 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 761566416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066598400).

761566416 is an abundant number, since it is smaller than the sum of its proper divisors (1371630384).

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

761566416 is a wasteful number, since it uses less digits than its factorization.

761566416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8358 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 761566416 is about 27596.4928206466. The cubic root of 761566416 is about 913.2070620658.

The spelling of 761566416 in words is "seven hundred sixty-one million, five hundred sixty-six thousand, four hundred sixteen".