375120000 has 240 divisors, whose sum is σ = 1351465830. Its totient is φ = 99840000.

The previous prime is 375119999. The next prime is 375120001. The reversal of 375120000 is 21573.

It is an interprime number because it is at equal distance from previous prime (375119999) and next prime (375120001).

It can be written as a sum of positive squares in 5 ways, for example, as 576 + 375119424 = 24^2 + 19368^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (375120001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719740 + ... + 720260.

Almost surely, 2^375120000 is an apocalyptic number.

375120000 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 375120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675732915).

375120000 is an abundant number, since it is smaller than the sum of its proper divisors (976345830).

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

375120000 is an equidigital number, since it uses as much as digits as its factorization.

375120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 375120000 is about 19368.0148698828. The cubic root of 375120000 is about 721.2016969274.

Adding to 375120000 its reverse (21573), we get a palindrome (375141573).

The spelling of 375120000 in words is "three hundred seventy-five million, one hundred twenty thousand".