8083767400 has 192 divisors, whose sum is σ = 20186208000. Its totient is φ = 3004646400.

The previous prime is 8083767361. The next prime is 8083767407. The reversal of 8083767400 is 47673808.

It is not an unprimeable number, because it can be changed into a prime (8083767407) 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 47 ways as a sum of consecutive naturals, for example, 29829265 + ... + 29829535.

It is an arithmetic number, because the mean of its divisors is an integer number (105136500).

Almost surely, 2^8083767400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8083767400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10093104000).

8083767400 is an abundant number, since it is smaller than the sum of its proper divisors (12102440600).

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

8083767400 is a wasteful number, since it uses less digits than its factorization.

8083767400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 8083767400 is about 89909.7736622666. The cubic root of 8083767400 is about 2006.9563929130.

The spelling of 8083767400 in words is "eight billion, eighty-three million, seven hundred sixty-seven thousand, four hundred".