83077920 has 96 divisors (see below), whose sum is σ = 290787840. Its totient is φ = 22152960.

The previous prime is 83077879. The next prime is 83077921. The reversal of 83077920 is 2977038.

It is a tau number, because it is divible by the number of its divisors (96).

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 (83077921) 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, 5296 + ... + 13935.

It is an arithmetic number, because the mean of its divisors is an integer number (3029040).

Almost surely, 2^83077920 is an apocalyptic number.

83077920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83077920 is an abundant number, since it is smaller than the sum of its proper divisors (207709920).

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

83077920 is a wasteful number, since it uses less digits than its factorization.

83077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19255 (or 19241 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 83077920 is about 9114.7089915148. The cubic root of 83077920 is about 436.3435274824.

The spelling of 83077920 in words is "eighty-three million, seventy-seven thousand, nine hundred twenty".