33780080 has 80 divisors (see below), whose sum is σ = 82923264. Its totient is φ = 12779520.

The previous prime is 33780073. The next prime is 33780083. The reversal of 33780080 is 8008733.

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

It is a super-2 number, since 2×33780080² = 2282187609612800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33780083) 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, 131312 + ... + 131568.

Almost surely, 2^33780080 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 33780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41461632).

33780080 is an abundant number, since it is smaller than the sum of its proper divisors (49143184).

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

33780080 is a wasteful number, since it uses less digits than its factorization.

33780080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 33780080 is about 5812.0633169297. The cubic root of 33780080 is about 323.2611829895.

The spelling of 33780080 in words is "thirty-three million, seven hundred eighty thousand, eighty".