8206982400 has 108 divisors (see below), whose sum is σ = 27084815072. Its totient is φ = 2188523520.

The previous prime is 8206982393. The next prime is 8206982401. The reversal of 8206982400 is 42896028.

It is a super-3 number, since 3×8206982400³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8206982401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194524 + ... + 232923.

Almost surely, 2^8206982400 is an apocalyptic number.

8206982400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8206982400 is an abundant number, since it is smaller than the sum of its proper divisors (18877832672).

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

8206982400 is a wasteful number, since it uses less digits than its factorization.

8206982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427476 (or 427457 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8206982400 is about 90592.3970319806. The cubic root of 8206982400 is about 2017.1018793726.

The spelling of 8206982400 in words is "eight billion, two hundred six million, nine hundred eighty-two thousand, four hundred".