768137344 has 64 divisors (see below), whose sum is σ = 1701262080. Its totient is φ = 343065600.

The previous prime is 768137341. The next prime is 768137347. The reversal of 768137344 is 443731867.

It is an interprime number because it is at equal distance from previous prime (768137341) and next prime (768137347).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 768137344.

It is not an unprimeable number, because it can be changed into a prime (768137341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44139 + ... + 59029.

It is an arithmetic number, because the mean of its divisors is an integer number (26582220).

Almost surely, 2^768137344 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 768137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850631040).

768137344 is an abundant number, since it is smaller than the sum of its proper divisors (933124736).

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

768137344 is a wasteful number, since it uses less digits than its factorization.

768137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14949 (or 14937 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 768137344 is about 27715.2907976806. The cubic root of 768137344 is about 915.8259809391.

The spelling of 768137344 in words is "seven hundred sixty-eight million, one hundred thirty-seven thousand, three hundred forty-four".