378771120 has 640 divisors, whose sum is σ = 1679892480. Its totient is φ = 76308480.

The previous prime is 378771097. The next prime is 378771121. The reversal of 378771120 is 21177873.

It is a happy number.

It is a super-2 number, since 2×378771120² = 286935122692108800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (378771121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8058937 + ... + 8058983.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2^378771120 is an apocalyptic number.

378771120 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 378771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839946240).

378771120 is an abundant number, since it is smaller than the sum of its proper divisors (1301121360).

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

378771120 is a wasteful number, since it uses less digits than its factorization.

378771120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 378771120 is about 19462.0430582198. The cubic root of 378771120 is about 723.5340143179.

The spelling of 378771120 in words is "three hundred seventy-eight million, seven hundred seventy-one thousand, one hundred twenty".