383377680 has 480 divisors, whose sum is σ = 1583112960. Its totient is φ = 81285120.

The previous prime is 383377669. The next prime is 383377697. The reversal of 383377680 is 86773383.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6284850 + ... + 6284910.

It is an arithmetic number, because the mean of its divisors is an integer number (3298152).

Almost surely, 2^383377680 is an apocalyptic number.

383377680 is a gapful number since it is divisible by the number (30) 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 383377680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791556480).

383377680 is an abundant number, since it is smaller than the sum of its proper divisors (1199735280).

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

383377680 is a wasteful number, since it uses less digits than its factorization.

383377680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 383377680 is about 19580.0326863874. The cubic root of 383377680 is about 726.4553753544.

The spelling of 383377680 in words is "three hundred eighty-three million, three hundred seventy-seven thousand, six hundred eighty".