332778320 has 80 divisors (see below), whose sum is σ = 889109760. Its totient is φ = 113467392.

The previous prime is 332778317. The next prime is 332778323. The reversal of 332778320 is 23877233.

It is an interprime number because it is at equal distance from previous prime (332778317) and next prime (332778323).

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

It is a super-2 number, since 2×332778320² = 221482820524044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332778323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106541 + ... + 109619.

It is an arithmetic number, because the mean of its divisors is an integer number (11113872).

Almost surely, 2^332778320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444554880).

332778320 is an abundant number, since it is smaller than the sum of its proper divisors (556331440).

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

332778320 is a wasteful number, since it uses less digits than its factorization.

332778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 332778320 is about 18242.2125851005. The cubic root of 332778320 is about 692.9762358179.

The spelling of 332778320 in words is "three hundred thirty-two million, seven hundred seventy-eight thousand, three hundred twenty".