378100800 has 756 divisors, whose sum is σ = 1742610688. Its totient is φ = 76032000.

The previous prime is 378100787. The next prime is 378100813. The reversal of 378100800 is 8001873.

It is an interprime number because it is at equal distance from previous prime (378100787) and next prime (378100813).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12196785 + ... + 12196815.

Almost surely, 2^378100800 is an apocalyptic number.

378100800 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 378100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871305344).

378100800 is an abundant number, since it is smaller than the sum of its proper divisors (1364509888).

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

378100800 is a wasteful number, since it uses less digits than its factorization.

378100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 378100800 is about 19444.8142187062. The cubic root of 378100800 is about 723.1069440009.

The spelling of 378100800 in words is "three hundred seventy-eight million, one hundred thousand, eight hundred".