386256780 has 144 divisors (see below), whose sum is σ = 1442086464. Its totient is φ = 81492480.

The previous prime is 386256751. The next prime is 386256781. The reversal of 386256780 is 87652683.

386256780 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 567 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (386256781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4590 + ... + 28170.

Almost surely, 2^386256780 is an apocalyptic number.

386256780 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 386256780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721043232).

386256780 is an abundant number, since it is smaller than the sum of its proper divisors (1055829684).

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

386256780 is a wasteful number, since it uses less digits than its factorization.

386256780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23616 (or 23611 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 386256780 is about 19653.4164968842. The cubic root of 386256780 is about 728.2693600314.

The spelling of 386256780 in words is "three hundred eighty-six million, two hundred fifty-six thousand, seven hundred eighty".