9077741280 has 336 divisors, whose sum is σ = 32391273600. Its totient is φ = 2402970624.

The previous prime is 9077741273. The next prime is 9077741287. The reversal of 9077741280 is 821477709.

It is a happy number.

9077741280 is a `hidden beast` number, since 90 + 7 + 77 + 412 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9077741273) and next prime (9077741287).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9077741287) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26010546 + ... + 26010894.

It is an arithmetic number, because the mean of its divisors is an integer number (96402600).

Almost surely, 2^9077741280 is an apocalyptic number.

9077741280 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 9077741280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16195636800).

9077741280 is an abundant number, since it is smaller than the sum of its proper divisors (23313532320).

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

9077741280 is a wasteful number, since it uses less digits than its factorization.

9077741280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 9077741280 is about 95277.1813185088. The cubic root of 9077741280 is about 2086.0558598109.

The spelling of 9077741280 in words is "nine billion, seventy-seven million, seven hundred forty-one thousand, two hundred eighty".