84077616000 has 512 divisors, whose sum is σ = 327191454720. Its totient is φ = 18695577600.

The previous prime is 84077615959. The next prime is 84077616011. The reversal of 84077616000 is 61677048.

It is a self number, because there is not a number n which added to its sum of digits gives 84077616000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12428619 + ... + 12435381.

It is an arithmetic number, because the mean of its divisors is an integer number (639045810).

Almost surely, 2^84077616000 is an apocalyptic number.

84077616000 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 84077616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163595727360).

84077616000 is an abundant number, since it is smaller than the sum of its proper divisors (243113838720).

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

84077616000 is a wasteful number, since it uses less digits than its factorization.

84077616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6839 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 84077616000 in words is "eighty-four billion, seventy-seven million, six hundred sixteen thousand".