84077760 has 112 divisors (see below), whose sum is σ = 287523936. Its totient is φ = 20692992.

The previous prime is 84077743. The next prime is 84077779. The reversal of 84077760 is 6777048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9112 + ... + 15848.

It is an arithmetic number, because the mean of its divisors is an integer number (2567178).

Almost surely, 2^84077760 is an apocalyptic number.

84077760 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 84077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143761968).

84077760 is an abundant number, since it is smaller than the sum of its proper divisors (203446176).

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

84077760 is a wasteful number, since it uses less digits than its factorization.

84077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6770 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 84077760 is about 9169.3925643960. The cubic root of 84077760 is about 438.0870117578.

The spelling of 84077760 in words is "eighty-four million, seventy-seven thousand, seven hundred sixty".