9077846400 has 576 divisors, whose sum is σ = 38051002080. Its totient is φ = 2017198080.

The previous prime is 9077846383. The next prime is 9077846411. The reversal of 9077846400 is 46487709.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7458592 + ... + 7459808.

Almost surely, 2^9077846400 is an apocalyptic number.

9077846400 is a gapful number since it is divisible by the number (90) 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 9077846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19025501040).

9077846400 is an abundant number, since it is smaller than the sum of its proper divisors (28973155680).

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

9077846400 is a wasteful number, since it uses less digits than its factorization.

9077846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 9077846400 is about 95277.7329705110. The cubic root of 9077846400 is about 2086.0639119367.

The spelling of 9077846400 in words is "nine billion, seventy-seven million, eight hundred forty-six thousand, four hundred".