379801800 has 288 divisors, whose sum is σ = 1493743680. Its totient is φ = 84672000.

The previous prime is 379801789. The next prime is 379801813. The reversal of 379801800 is 8108973.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 541450 + ... + 542150.

It is an arithmetic number, because the mean of its divisors is an integer number (5186610).

Almost surely, 2^379801800 is an apocalyptic number.

379801800 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 379801800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746871840).

379801800 is an abundant number, since it is smaller than the sum of its proper divisors (1113941880).

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

379801800 is a wasteful number, since it uses less digits than its factorization.

379801800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 379801800 is about 19488.5043038197. The cubic root of 379801800 is about 724.1896931800.

The spelling of 379801800 in words is "three hundred seventy-nine million, eight hundred one thousand, eight hundred".