380800507 has 8 divisors (see below), whose sum is σ = 383523840. Its totient is φ = 378083520.

The previous prime is 380800499. The next prime is 380800543. The reversal of 380800507 is 705008083.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 380800507 - 2³ = 380800499 is a prime.

It is a super-2 number, since 2×380800507² = 290018052262914098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (380800307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220407 + ... + 222127.

It is an arithmetic number, because the mean of its divisors is an integer number (47940480).

Almost surely, 2^380800507 is an apocalyptic number.

380800507 is a deficient number, since it is larger than the sum of its proper divisors (2723333).

380800507 is a wasteful number, since it uses less digits than its factorization.

380800507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 380800507 is about 19514.1104588449. The cubic root of 380800507 is about 724.8239014235.

The spelling of 380800507 in words is "three hundred eighty million, eight hundred thousand, five hundred seven".