9077821824 has 256 divisors, whose sum is σ = 26101555200. Its totient is φ = 2786918400.

The previous prime is 9077821793. The next prime is 9077821859. The reversal of 9077821824 is 4281287709.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71478849 + ... + 71478975.

It is an arithmetic number, because the mean of its divisors is an integer number (101959200).

Almost surely, 2^9077821824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9077821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13050777600).

9077821824 is an abundant number, since it is smaller than the sum of its proper divisors (17023733376).

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

9077821824 is a wasteful number, since it uses less digits than its factorization.

9077821824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 9077821824 is about 95277.6040001007. The cubic root of 9077821824 is about 2086.0620294362.

The spelling of 9077821824 in words is "nine billion, seventy-seven million, eight hundred twenty-one thousand, eight hundred twenty-four".