83004768 has 288 divisors, whose sum is σ = 311351040. Its totient is φ = 20321280.

The previous prime is 83004739. The next prime is 83004791. The reversal of 83004768 is 86740038.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421246 + ... + 421442.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^83004768 is an apocalyptic number.

83004768 is a gapful number since it is divisible by the number (88) 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 83004768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

83004768 is an abundant number, since it is smaller than the sum of its proper divisors (228346272).

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

83004768 is a wasteful number, since it uses less digits than its factorization.

83004768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83004768 is about 9110.6952533821. The cubic root of 83004768 is about 436.2154197377.

The spelling of 83004768 in words is "eighty-three million, four thousand, seven hundred sixty-eight".