8790675840 has 384 divisors, whose sum is σ = 31253713920. Its totient is φ = 2275983360.

The previous prime is 8790675827. The next prime is 8790675853. The reversal of 8790675840 is 485760978.

It is an interprime number because it is at equal distance from previous prime (8790675827) and next prime (8790675853).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44622622 + ... + 44622818.

It is an arithmetic number, because the mean of its divisors is an integer number (81389880).

Almost surely, 2^8790675840 is an apocalyptic number.

8790675840 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 8790675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626856960).

8790675840 is an abundant number, since it is smaller than the sum of its proper divisors (22463038080).

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

8790675840 is a wasteful number, since it uses less digits than its factorization.

8790675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 8790675840 is about 93758.6040851718. The cubic root of 8790675840 is about 2063.8307955757.

The spelling of 8790675840 in words is "eight billion, seven hundred ninety million, six hundred seventy-five thousand, eight hundred forty".