8025073920 has 144 divisors (see below), whose sum is σ = 28477989120. Its totient is φ = 2140010496.

The previous prime is 8025073919. The next prime is 8025073921. The reversal of 8025073920 is 293705208.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8025073919) and next prime (8025073921).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8025073920² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8025073921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81544 + ... + 150663.

Almost surely, 2^8025073920 is an apocalyptic number.

8025073920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8025073920 is an abundant number, since it is smaller than the sum of its proper divisors (20452915200).

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

8025073920 is a wasteful number, since it uses less digits than its factorization.

8025073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232237 (or 232217 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8025073920 is about 89582.7769161015. The cubic root of 8025073920 is about 2002.0873141353.

The spelling of 8025073920 in words is "eight billion, twenty-five million, seventy-three thousand, nine hundred twenty".