378766092200 has 96 divisors (see below), whose sum is σ = 896350647000. Its totient is φ = 148809139200.

The previous prime is 378766092179. The next prime is 378766092217. The reversal of 378766092200 is 2290667873.

It can be written as a sum of positive squares in 12 ways, for example, as 1664476804 + 377101615396 = 40798^2 + 614086^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8627906 + ... + 8671694.

Almost surely, 2^378766092200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378766092200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448175323500).

378766092200 is an abundant number, since it is smaller than the sum of its proper divisors (517584554800).

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

378766092200 is a wasteful number, since it uses less digits than its factorization.

378766092200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44575 (or 44566 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 378766092200 in words is "three hundred seventy-eight billion, seven hundred sixty-six million, ninety-two thousand, two hundred".