383778720 has 432 divisors, whose sum is σ = 1510760160. Its totient is φ = 88418304.

The previous prime is 383778683. The next prime is 383778743. The reversal of 383778720 is 27877383.

It is a super-2 number, since 2×383778720² = 294572211849676800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4623799 + ... + 4623881.

It is an arithmetic number, because the mean of its divisors is an integer number (3497130).

Almost surely, 2^383778720 is an apocalyptic number.

383778720 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 383778720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755380080).

383778720 is an abundant number, since it is smaller than the sum of its proper divisors (1126981440).

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

383778720 is a wasteful number, since it uses less digits than its factorization.

383778720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 383778720 is about 19590.2710547864. The cubic root of 383778720 is about 726.7085948743.

The spelling of 383778720 in words is "three hundred eighty-three million, seven hundred seventy-eight thousand, seven hundred twenty".