380152775808 has 768 divisors, whose sum is σ = 1300252262400. Its totient is φ = 105554534400.

The previous prime is 380152775801. The next prime is 380152775917. The reversal of 380152775808 is 808577251083.

380152775808 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 52 + 7 + 7 + 580 + 8 = 666.

It is a super-2 number, since 2×380152775808² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380152775801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 626281041 + ... + 626281647.

It is an arithmetic number, because the mean of its divisors is an integer number (1693036800).

Almost surely, 2^380152775808 is an apocalyptic number.

380152775808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380152775808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650126131200).

380152775808 is an abundant number, since it is smaller than the sum of its proper divisors (920099486592).

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

380152775808 is a wasteful number, since it uses less digits than its factorization.

380152775808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

It can be divided in two parts, 380152 and 775808, that added together give a triangular number (1155960 = T₁₅₂₀).

The spelling of 380152775808 in words is "three hundred eighty billion, one hundred fifty-two million, seven hundred seventy-five thousand, eight hundred eight".