8734878000 has 320 divisors, whose sum is σ = 31692435840. Its totient is φ = 2328134400.

The previous prime is 8734877993. The next prime is 8734878013. The reversal of 8734878000 is 8784378.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4373002 + ... + 4374998.

It is an arithmetic number, because the mean of its divisors is an integer number (99038862).

Almost surely, 2^8734878000 is an apocalyptic number.

8734878000 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 8734878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846217920).

8734878000 is an abundant number, since it is smaller than the sum of its proper divisors (22957557840).

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

8734878000 is an equidigital number, since it uses as much as digits as its factorization.

8734878000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8734878000 is about 93460.5692257435. The cubic root of 8734878000 is about 2059.4548782266.

The spelling of 8734878000 in words is "eight billion, seven hundred thirty-four million, eight hundred seventy-eight thousand".