8073717120 has 640 divisors, whose sum is σ = 34715577600. Its totient is φ = 1746800640.

The previous prime is 8073717107. The next prime is 8073717121. The reversal of 8073717120 is 217173708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8073717121) 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, 6894135 + ... + 6895305.

It is an arithmetic number, because the mean of its divisors is an integer number (54243090).

Almost surely, 2^8073717120 is an apocalyptic number.

8073717120 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 8073717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357788800).

8073717120 is an abundant number, since it is smaller than the sum of its proper divisors (26641860480).

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

8073717120 is a wasteful number, since it uses less digits than its factorization.

8073717120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 8073717120 is about 89853.8653592599. The cubic root of 8073717120 is about 2006.1243205401.

The spelling of 8073717120 in words is "eight billion, seventy-three million, seven hundred seventeen thousand, one hundred twenty".