768897440 has 96 divisors (see below), whose sum is σ = 1887701760. Its totient is φ = 295742464.

The previous prime is 768897419. The next prime is 768897449. The reversal of 768897440 is 44798867.

It is a Cunningham number, because it is equal to 27729²-1.

It is not an unprimeable number, because it can be changed into a prime (768897449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442814 + ... + 444546.

It is an arithmetic number, because the mean of its divisors is an integer number (19663560).

Almost surely, 2^768897440 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 768897440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943850880).

768897440 is an abundant number, since it is smaller than the sum of its proper divisors (1118804320).

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

768897440 is a wasteful number, since it uses less digits than its factorization.

768897440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The square root of 768897440 is about 27728.9999819683. Note that the first 4 decimals coincide. The cubic root of 768897440 is about 916.1279608680.

The spelling of 768897440 in words is "seven hundred sixty-eight million, eight hundred ninety-seven thousand, four hundred forty".