8400768816 has 160 divisors (see below), whose sum is σ = 24223235328. Its totient is φ = 2487147520.

The previous prime is 8400768811. The next prime is 8400768847. The reversal of 8400768816 is 6188670048.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8400768811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8870455 + ... + 8871401.

Almost surely, 2^8400768816 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 8400768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111617664).

8400768816 is an abundant number, since it is smaller than the sum of its proper divisors (15822466512).

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

8400768816 is a wasteful number, since it uses less digits than its factorization.

8400768816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 8400768816 is about 91655.7080382886. The cubic root of 8400768816 is about 2032.8547293394.

The spelling of 8400768816 in words is "eight billion, four hundred million, seven hundred sixty-eight thousand, eight hundred sixteen".