768464280 has 128 divisors (see below), whose sum is σ = 2580480000. Its totient is φ = 203409792.

The previous prime is 768464269. The next prime is 768464303. The reversal of 768464280 is 82464867.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147561 + ... + 152679.

It is an arithmetic number, because the mean of its divisors is an integer number (20160000).

Almost surely, 2^768464280 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 768464280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290240000).

768464280 is an abundant number, since it is smaller than the sum of its proper divisors (1812015720).

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

768464280 is a wasteful number, since it uses less digits than its factorization.

768464280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 768464280 is about 27721.1882862189. The cubic root of 768464280 is about 915.9558943441.

The spelling of 768464280 in words is "seven hundred sixty-eight million, four hundred sixty-four thousand, two hundred eighty".