83762887040 has 256 divisors, whose sum is σ = 232425262080. Its totient is φ = 28273975296.

The previous prime is 83762887037. The next prime is 83762887049. The reversal of 83762887040 is 4078826738.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83762887049) 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, 94433477 + ... + 94434363.

It is an arithmetic number, because the mean of its divisors is an integer number (907911180).

Almost surely, 2^83762887040 is an apocalyptic number.

83762887040 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 83762887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116212631040).

83762887040 is an abundant number, since it is smaller than the sum of its proper divisors (148662375040).

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

83762887040 is a wasteful number, since it uses less digits than its factorization.

83762887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 83762887040 in words is "eighty-three billion, seven hundred sixty-two million, eight hundred eighty-seven thousand, forty".