83766080 has 56 divisors (see below), whose sum is σ = 202496928. Its totient is φ = 32997888.

The previous prime is 83766049. The next prime is 83766091. The reversal of 83766080 is 8066738.

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 7 ways as a sum of consecutive naturals, for example, 19487 + ... + 23393.

Almost surely, 2^83766080 is an apocalyptic number.

83766080 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 83766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101248464).

83766080 is an abundant number, since it is smaller than the sum of its proper divisors (118730848).

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

83766080 is a wasteful number, since it uses less digits than its factorization.

83766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 83766080 is about 9152.3811109459. The cubic root of 83766080 is about 437.5450054382.

The spelling of 83766080 in words is "eighty-three million, seven hundred sixty-six thousand, eighty".