380800764 has 60 divisors (see below), whose sum is σ = 999317704. Its totient is φ = 126445536.

The previous prime is 380800759. The next prime is 380800789. The reversal of 380800764 is 467008083.

380800764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 19 ways as a sum of consecutive naturals, for example, 87627 + ... + 91869.

Almost surely, 2^380800764 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 380800764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499658852).

380800764 is an abundant number, since it is smaller than the sum of its proper divisors (618516940).

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

380800764 is a wasteful number, since it uses less digits than its factorization.

380800764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 380800764 is about 19514.1170438224. The cubic root of 380800764 is about 724.8240644832.

The spelling of 380800764 in words is "three hundred eighty million, eight hundred thousand, seven hundred sixty-four".