83052880 has 40 divisors (see below), whose sum is σ = 197815464. Its totient is φ = 32409600.

The previous prime is 83052841. The next prime is 83052881. The reversal of 83052880 is 8825038.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 79637776 = 1848^2 + 8924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83052881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9381 + ... + 15940.

Almost surely, 2^83052880 is an apocalyptic number.

83052880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83052880 is an abundant number, since it is smaller than the sum of its proper divisors (114762584).

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

83052880 is a wasteful number, since it uses less digits than its factorization.

83052880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25375 (or 25369 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 83052880 is about 9113.3352840768. The cubic root of 83052880 is about 436.2996845463.

The spelling of 83052880 in words is "eighty-three million, fifty-two thousand, eight hundred eighty".