331776000 has 320 divisors, whose sum is σ = 1237038660. Its totient is φ = 88473600.

The previous prime is 331775879. The next prime is 331776001. The reversal of 331776000 is 677133.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)² ⋅ (2!)⁵.

It can be written as a sum of positive squares in 2 ways, for example, as 224280576 + 107495424 = 14976^2 + 10368^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=480.

It is a super-2 number, since 2×331776000² = 220150628352000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (331776001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66355198 + ... + 66355202.

Almost surely, 2^331776000 is an apocalyptic number.

331776000 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 331776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618519330).

331776000 is an abundant number, since it is smaller than the sum of its proper divisors (905262660).

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

331776000 is an frugal number, since it uses more digits than its factorization.

331776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 331776000 is about 18214.7193225699. The cubic root of 331776000 is about 692.2797937476.

The spelling of 331776000 in words is "three hundred thirty-one million, seven hundred seventy-six thousand".