8266982400 has 396 divisors, whose sum is σ = 30202739892. Its totient is φ = 2159738880.

The previous prime is 8266982387. The next prime is 8266982417. The reversal of 8266982400 is 42896628.

It can be written as a sum of positive squares in 6 ways, for example, as 851705856 + 7415276544 = 29184^2 + 86112^2 .

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 35 ways as a sum of consecutive naturals, for example, 12210862 + ... + 12211538.

Almost surely, 2^8266982400 is an apocalyptic number.

8266982400 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 8266982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101369946).

8266982400 is an abundant number, since it is smaller than the sum of its proper divisors (21935757492).

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

8266982400 is a wasteful number, since it uses less digits than its factorization.

8266982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8266982400 is about 90922.9475985023. The cubic root of 8266982400 is about 2022.0055237928.

The spelling of 8266982400 in words is "eight billion, two hundred sixty-six million, nine hundred eighty-two thousand, four hundred".