83875680 has 288 divisors, whose sum is σ = 335409984. Its totient is φ = 18690048.

The previous prime is 83875679. The next prime is 83875703. The reversal of 83875680 is 8657838.

83875680 is a `hidden beast` number, since 8 + 3 + 87 + 568 + 0 = 666.

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

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534162 + ... + 534318.

It is an arithmetic number, because the mean of its divisors is an integer number (1164618).

Almost surely, 2^83875680 is an apocalyptic number.

83875680 is a gapful number since it is divisible by the number (80) 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 83875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167704992).

83875680 is an abundant number, since it is smaller than the sum of its proper divisors (251534304).

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

83875680 is a wasteful number, since it uses less digits than its factorization.

83875680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 83875680 is about 9158.3666666060. The cubic root of 83875680 is about 437.7357510357.

The spelling of 83875680 in words is "eighty-three million, eight hundred seventy-five thousand, six hundred eighty".