8346780000 has 960 divisors, whose sum is σ = 34717636800. Its totient is φ = 1935360000.

The previous prime is 8346779983. The next prime is 8346780007. The reversal of 8346780000 is 876438.

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 (8346780007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 203579980 + ... + 203580020.

It is an arithmetic number, because the mean of its divisors is an integer number (36164205).

Almost surely, 2^8346780000 is an apocalyptic number.

8346780000 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 8346780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358818400).

8346780000 is an abundant number, since it is smaller than the sum of its proper divisors (26370856800).

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

8346780000 is a wasteful number, since it uses less digits than its factorization.

8346780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8346780000 is about 91360.7136574578. The cubic root of 8346780000 is about 2028.4905504260.

The spelling of 8346780000 in words is "eight billion, three hundred forty-six million, seven hundred eighty thousand".