8830023840 has 480 divisors, whose sum is σ = 35486833536. Its totient is φ = 2046781440.

The previous prime is 8830023827. The next prime is 8830023857. The reversal of 8830023840 is 483200388.

It is a happy number.

8830023840 is a `hidden beast` number, since 88 + 300 + 238 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8830023795 and 8830023804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3277534 + ... + 3280226.

Almost surely, 2^8830023840 is an apocalyptic number.

8830023840 is a gapful number since it is divisible by the number (80) 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 8830023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743416768).

8830023840 is an abundant number, since it is smaller than the sum of its proper divisors (26656809696).

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

8830023840 is a wasteful number, since it uses less digits than its factorization.

8830023840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8830023840 is about 93968.2065381691. The cubic root of 8830023840 is about 2066.9055212429.

The spelling of 8830023840 in words is "eight billion, eight hundred thirty million, twenty-three thousand, eight hundred forty".