768401280 has 96 divisors (see below), whose sum is σ = 2653405560. Its totient is φ = 204905472.

The previous prime is 768401269. The next prime is 768401281. The reversal of 768401280 is 82104867.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768401281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60942 + ... + 72461.

Almost surely, 2^768401280 is an apocalyptic number.

It is an amenable number.

768401280 is an abundant number, since it is smaller than the sum of its proper divisors (1885004280).

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

768401280 is a wasteful number, since it uses less digits than its factorization.

768401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133428 (or 133413 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 768401280 is about 27720.0519480033. The cubic root of 768401280 is about 915.9308631228.

The spelling of 768401280 in words is "seven hundred sixty-eight million, four hundred one thousand, two hundred eighty".