378798000 has 320 divisors, whose sum is σ = 1448478720. Its totient is φ = 83328000.

The previous prime is 378797987. The next prime is 378798011. The reversal of 378798000 is 897873.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1217845 + ... + 1218155.

It is an arithmetic number, because the mean of its divisors is an integer number (4526496).

Almost surely, 2^378798000 is an apocalyptic number.

378798000 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 378798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724239360).

378798000 is an abundant number, since it is smaller than the sum of its proper divisors (1069680720).

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

378798000 is a wasteful number, since it uses less digits than its factorization.

378798000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 378798000 is about 19462.7336209485. The cubic root of 378798000 is about 723.5511294333.

The spelling of 378798000 in words is "three hundred seventy-eight million, seven hundred ninety-eight thousand".