9078278400 has 243 divisors, whose sum is σ = 32538855531. Its totient is φ = 2414776320.

The previous prime is 9078278393. The next prime is 9078278401. The reversal of 9078278400 is 48728709.

The square root of 9078278400 is 95280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 9069133824 = 3024^2 + 95232^2 .

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 (9078278401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22867002 + ... + 22867398.

Almost surely, 2^9078278400 is an apocalyptic number.

9078278400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9078278400 is the 95280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9078278400

9078278400 is an abundant number, since it is smaller than the sum of its proper divisors (23460577131).

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

9078278400 is an equidigital number, since it uses as much as digits as its factorization.

9078278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The cubic root of 9078278400 is about 2086.0970022122.

The spelling of 9078278400 in words is "nine billion, seventy-eight million, two hundred seventy-eight thousand, four hundred".