9007881750 has 256 divisors, whose sum is σ = 28689223680. Its totient is φ = 2048976000.

The previous prime is 9007881709. The next prime is 9007881769. The reversal of 9007881750 is 571887009.

It is a super-2 number, since 2×9007881750² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9007881696 and 9007881705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14694444 + ... + 14695056.

It is an arithmetic number, because the mean of its divisors is an integer number (112067280).

Almost surely, 2^9007881750 is an apocalyptic number.

9007881750 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9007881750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344611840).

9007881750 is an abundant number, since it is smaller than the sum of its proper divisors (19681341930).

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

9007881750 is a wasteful number, since it uses less digits than its factorization.

9007881750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 9007881750 is about 94909.8611841783. The cubic root of 9007881750 is about 2080.6908570191.

The spelling of 9007881750 in words is "nine billion, seven million, eight hundred eighty-one thousand, seven hundred fifty".