9078909840 has 1920 divisors, whose sum is σ = 47054131200. Its totient is φ = 1552711680.

The previous prime is 9078909787. The next prime is 9078909841. The reversal of 9078909840 is 489098709.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9078909841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 477837351 + ... + 477837369.

It is an arithmetic number, because the mean of its divisors is an integer number (24507360).

Almost surely, 2^9078909840 is an apocalyptic number.

9078909840 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 9078909840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23527065600).

9078909840 is an abundant number, since it is smaller than the sum of its proper divisors (37975221360).

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

9078909840 is a wasteful number, since it uses less digits than its factorization.

9078909840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 9078909840 is about 95283.3135443977. The cubic root of 9078909840 is about 2086.1453672764.

The spelling of 9078909840 in words is "nine billion, seventy-eight million, nine hundred nine thousand, eight hundred forty".