83075760 has 80 divisors (see below), whose sum is σ = 286157280. Its totient is φ = 22152960.

The previous prime is 83075737. The next prime is 83075761. The reversal of 83075760 is 6757038.

83075760 is a `hidden beast` number, since 83 + 0 + 7 + 576 + 0 = 666.

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

It is a super-4 number, since 4×83075760⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83075761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17071 + ... + 21390.

It is an arithmetic number, because the mean of its divisors is an integer number (3576966).

Almost surely, 2^83075760 is an apocalyptic number.

83075760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83075760 is an abundant number, since it is smaller than the sum of its proper divisors (203081520).

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

83075760 is a wasteful number, since it uses less digits than its factorization.

83075760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38483 (or 38471 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 83075760 is about 9114.5905009496. The cubic root of 83075760 is about 436.3397458511.

The spelling of 83075760 in words is "eighty-three million, seventy-five thousand, seven hundred sixty".