768837376 has 72 divisors (see below), whose sum is σ = 1695816864. Its totient is φ = 346030080.

The previous prime is 768837367. The next prime is 768837379. The reversal of 768837376 is 673738867.

It is a happy number.

It is a super-2 number, since 2×768837376² = 1182221821469130752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768837379) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 96256 + ... + 103936.

It is an arithmetic number, because the mean of its divisors is an integer number (23553012).

Almost surely, 2^768837376 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 768837376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847908432).

768837376 is an abundant number, since it is smaller than the sum of its proper divisors (926979488).

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

768837376 is a wasteful number, since it uses less digits than its factorization.

768837376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7737 (or 7723 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 55.

The square root of 768837376 is about 27727.9169069730. The cubic root of 768837376 is about 916.1041051755.

The spelling of 768837376 in words is "seven hundred sixty-eight million, eight hundred thirty-seven thousand, three hundred seventy-six".