332775120 has 80 divisors (see below), whose sum is σ = 1085912640. Its totient is φ = 84068352.

The previous prime is 332775089. The next prime is 332775127. The reversal of 332775120 is 21577233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×332775120² = 221478560982028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332775127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31929 + ... + 41048.

It is an arithmetic number, because the mean of its divisors is an integer number (13573908).

Almost surely, 2^332775120 is an apocalyptic number.

332775120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332775120 is an abundant number, since it is smaller than the sum of its proper divisors (753137520).

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

332775120 is a wasteful number, since it uses less digits than its factorization.

332775120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73012 (or 73006 counting only the distinct ones).

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

The square root of 332775120 is about 18242.1248762308. The cubic root of 332775120 is about 692.9740145884.

The spelling of 332775120 in words is "three hundred thirty-two million, seven hundred seventy-five thousand, one hundred twenty".