375006720 has 320 divisors, whose sum is σ = 1371769344. Its totient is φ = 86507520.

The previous prime is 375006719. The next prime is 375006739. The reversal of 375006720 is 27600573.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1942944 + ... + 1943136.

Almost surely, 2^375006720 is an apocalyptic number.

375006720 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 375006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685884672).

375006720 is an abundant number, since it is smaller than the sum of its proper divisors (996762624).

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

375006720 is a wasteful number, since it uses less digits than its factorization.

375006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 375006720 is about 19365.0902399137. The cubic root of 375006720 is about 721.1290926467.

The spelling of 375006720 in words is "three hundred seventy-five million, six thousand, seven hundred twenty".