380620800 has 468 divisors, whose sum is σ = 1584467040. Its totient is φ = 85524480.

The previous prime is 380620783. The next prime is 380620817. The reversal of 380620800 is 8026083.

380620800 is a `hidden beast` number, since 38 + 0 + 620 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (380620783) and next prime (380620817).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6451171 + ... + 6451229.

Almost surely, 2^380620800 is an apocalyptic number.

380620800 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 380620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792233520).

380620800 is an abundant number, since it is smaller than the sum of its proper divisors (1203846240).

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

380620800 is a wasteful number, since it uses less digits than its factorization.

380620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 380620800 is about 19509.5053755855. The cubic root of 380620800 is about 724.7098640891.

Adding to 380620800 its reverse (8026083), we get a palindrome (388646883).

The spelling of 380620800 in words is "three hundred eighty million, six hundred twenty thousand, eight hundred".