9076838400 has 936 divisors, whose sum is σ = 39367911840. Its totient is φ = 2043740160.

The previous prime is 9076838399. The next prime is 9076838401. The reversal of 9076838400 is 48386709.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9076838399) and next prime (9076838401).

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

It is not an unprimeable number, because it can be changed into a prime (9076838401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135475167 + ... + 135475233.

Almost surely, 2^9076838400 is an apocalyptic number.

9076838400 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 9076838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19683955920).

9076838400 is an abundant number, since it is smaller than the sum of its proper divisors (30291073440).

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

9076838400 is a wasteful number, since it uses less digits than its factorization.

9076838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9076838400 is about 95272.4430252526. The cubic root of 9076838400 is about 2085.9866972111.

The spelling of 9076838400 in words is "nine billion, seventy-six million, eight hundred thirty-eight thousand, four hundred".