761799168 has 280 divisors, whose sum is σ = 2473323468. Its totient is φ = 232906752.

The previous prime is 761799163. The next prime is 761799187. The reversal of 761799168 is 861997167.

761799168 is a `hidden beast` number, since 7 + 617 + 9 + 9 + 16 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 694427904 + 67371264 = 26352^2 + 8208^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (761799163) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4852146 + ... + 4852302.

Almost surely, 2^761799168 is an apocalyptic number.

761799168 is a gapful number since it is divisible by the number (78) 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 761799168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236661734).

761799168 is an abundant number, since it is smaller than the sum of its proper divisors (1711524300).

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

761799168 is an equidigital number, since it uses as much as digits as its factorization.

761799168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 761799168 is about 27600.7095560966. The cubic root of 761799168 is about 913.3000848654.

The spelling of 761799168 in words is "seven hundred sixty-one million, seven hundred ninety-nine thousand, one hundred sixty-eight".