380781158400 has 1008 divisors, whose sum is σ = 1464136914240. Its totient is φ = 94312857600.

The previous prime is 380781158389. The next prime is 380781158413. The reversal of 380781158400 is 4851187083.

It is a happy number.

380781158400 is a `hidden beast` number, since 380 + 7 + 81 + 158 + 40 + 0 = 666.

It is a super-3 number, since 3×380781158400³ (a number of 36 digits) contains 333 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, 2906726335 + ... + 2906726465.

It is an arithmetic number, because the mean of its divisors is an integer number (1452516780).

Almost surely, 2^380781158400 is an apocalyptic number.

380781158400 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 380781158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732068457120).

380781158400 is an abundant number, since it is smaller than the sum of its proper divisors (1083355755840).

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

380781158400 is a wasteful number, since it uses less digits than its factorization.

380781158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 380781158400 in words is "three hundred eighty billion, seven hundred eighty-one million, one hundred fifty-eight thousand, four hundred".