332789760 has 288 divisors, whose sum is σ = 1211202720. Its totient is φ = 84344832.

The previous prime is 332789749. The next prime is 332789777. The reversal of 332789760 is 67987233.

It is a happy number.

332789760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×332789760² = 221498048721715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2119602 + ... + 2119758.

It is an arithmetic number, because the mean of its divisors is an integer number (4205565).

Almost surely, 2^332789760 is an apocalyptic number.

332789760 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 332789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605601360).

332789760 is an abundant number, since it is smaller than the sum of its proper divisors (878412960).

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

332789760 is a wasteful number, since it uses less digits than its factorization.

332789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 332789760 is about 18242.5261408611. The cubic root of 332789760 is about 692.9841765969.

The spelling of 332789760 in words is "three hundred thirty-two million, seven hundred eighty-nine thousand, seven hundred sixty".