8075563920 has 400 divisors, whose sum is σ = 29848357440. Its totient is φ = 2017778688.

The previous prime is 8075563919. The next prime is 8075563921. The reversal of 8075563920 is 293655708.

It is a happy number.

8075563920 is a `hidden beast` number, since 8 + 0 + 7 + 5 + 5 + 639 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8075563919) and next prime (8075563921).

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 (8075563921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13173534 + ... + 13174146.

Almost surely, 2^8075563920 is an apocalyptic number.

8075563920 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 8075563920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14924178720).

8075563920 is an abundant number, since it is smaller than the sum of its proper divisors (21772793520).

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

8075563920 is a wasteful number, since it uses less digits than its factorization.

8075563920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 8075563920 is about 89864.1414580922. The cubic root of 8075563920 is about 2006.2772706573.

The spelling of 8075563920 in words is "eight billion, seventy-five million, five hundred sixty-three thousand, nine hundred twenty".