84005760 has 64 divisors (see below), whose sum is σ = 267774480. Its totient is φ = 22401024.

The previous prime is 84005749. The next prime is 84005773. The reversal of 84005760 is 6750048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19957 + ... + 23796.

Almost surely, 2^84005760 is an apocalyptic number.

84005760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84005760 is an abundant number, since it is smaller than the sum of its proper divisors (183768720).

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

84005760 is a wasteful number, since it uses less digits than its factorization.

84005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43775 (or 43763 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 84005760 is about 9165.4656182869. The cubic root of 84005760 is about 437.9619240895.

The spelling of 84005760 in words is "eighty-four million, five thousand, seven hundred sixty".