8073950880 has 96 divisors (see below), whose sum is σ = 25448701824. Its totient is φ = 2151719936.

The previous prime is 8073950873. The next prime is 8073950881. The reversal of 8073950880 is 880593708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8073950881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954349 + ... + 962771.

It is an arithmetic number, because the mean of its divisors is an integer number (265090644).

Almost surely, 2^8073950880 is an apocalyptic number.

8073950880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8073950880 is an abundant number, since it is smaller than the sum of its proper divisors (17374750944).

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

8073950880 is a wasteful number, since it uses less digits than its factorization.

8073950880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438 (or 10430 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 8073950880 is about 89855.1661286094. The cubic root of 8073950880 is about 2006.1436815972.

The spelling of 8073950880 in words is "eight billion, seventy-three million, nine hundred fifty thousand, eight hundred eighty".