380078400 has 168 divisors, whose sum is σ = 1343115424. Its totient is φ = 93542400.

The previous prime is 380078351. The next prime is 380078411. The reversal of 380078400 is 4870083.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59355 + ... + 65445.

Almost surely, 2^380078400 is an apocalyptic number.

380078400 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 380078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671557712).

380078400 is an abundant number, since it is smaller than the sum of its proper divisors (963037024).

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

380078400 is a wasteful number, since it uses less digits than its factorization.

380078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 380078400 is about 19495.5995034777. The cubic root of 380078400 is about 724.3654535035.

The spelling of 380078400 in words is "three hundred eighty million, seventy-eight thousand, four hundred".