768299820 has 192 divisors, whose sum is σ = 2368106496. Its totient is φ = 185518080.

The previous prime is 768299801. The next prime is 768299863. The reversal of 768299820 is 28992867.

It is a happy number.

768299820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

768299820 is a nontrivial binomial coefficient, being equal to C(370, 4).

It is a super-2 number, since 2×768299820² = 1180569226824064800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2093277 + ... + 2093643.

It is an arithmetic number, because the mean of its divisors is an integer number (12333888).

Almost surely, 2^768299820 is an apocalyptic number.

768299820 is the 22632-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768299820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184053248).

768299820 is an abundant number, since it is smaller than the sum of its proper divisors (1599806676).

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

768299820 is a wasteful number, since it uses less digits than its factorization.

768299820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 768299820 is about 27718.2218044376. The cubic root of 768299820 is about 915.8905480608.

The spelling of 768299820 in words is "seven hundred sixty-eight million, two hundred ninety-nine thousand, eight hundred twenty".