83999760 has 240 divisors, whose sum is σ = 299534400. Its totient is φ = 19408896.

The previous prime is 83999743. The next prime is 83999767. The reversal of 83999760 is 6799938.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83999767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770586 + ... + 770694.

It is an arithmetic number, because the mean of its divisors is an integer number (1248060).

Almost surely, 2^83999760 is an apocalyptic number.

83999760 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 83999760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149767200).

83999760 is an abundant number, since it is smaller than the sum of its proper divisors (215534640).

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

83999760 is a wasteful number, since it uses less digits than its factorization.

83999760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 83999760 is about 9165.1382968289. The cubic root of 83999760 is about 437.9514968913.

The spelling of 83999760 in words is "eighty-three million, nine hundred ninety-nine thousand, seven hundred sixty".