8075401488 has 480 divisors, whose sum is σ = 29855232000. Its totient is φ = 2066238720.

The previous prime is 8075401471. The next prime is 8075401511. The reversal of 8075401488 is 8841045708.

It is a super-2 number, since 2×8075401488² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18394773 + ... + 18395211.

It is an arithmetic number, because the mean of its divisors is an integer number (62198400).

Almost surely, 2^8075401488 is an apocalyptic number.

8075401488 is a gapful number since it is divisible by the number (88) 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 8075401488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14927616000).

8075401488 is an abundant number, since it is smaller than the sum of its proper divisors (21779830512).

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

8075401488 is a wasteful number, since it uses less digits than its factorization.

8075401488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 8075401488 is about 89863.2376892798. The cubic root of 8075401488 is about 2006.2638191379.

The spelling of 8075401488 in words is "eight billion, seventy-five million, four hundred one thousand, four hundred eighty-eight".