380007600 has 240 divisors, whose sum is σ = 1465025280. Its totient is φ = 82252800.

The previous prime is 380007599. The next prime is 380007601. The reversal of 380007600 is 6700083.

It is an interprime number because it is at equal distance from previous prime (380007599) and next prime (380007601).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (380007601) 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, 158410 + ... + 160790.

It is an arithmetic number, because the mean of its divisors is an integer number (6104272).

Almost surely, 2^380007600 is an apocalyptic number.

380007600 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 380007600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732512640).

380007600 is an abundant number, since it is smaller than the sum of its proper divisors (1085017680).

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

380007600 is a wasteful number, since it uses less digits than its factorization.

380007600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 380007600 is about 19493.7836245302. The cubic root of 380007600 is about 724.3204730829.

Adding to 380007600 its reverse (6700083), we get a palindrome (386707683).

The spelling of 380007600 in words is "three hundred eighty million, seven thousand, six hundred".