83876247840 has 1152 divisors, whose sum is σ = 358415124480. Its totient is φ = 16257024000.

The previous prime is 83876247787. The next prime is 83876247841. The reversal of 83876247840 is 4874267838.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (83876247841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 555471765 + ... + 555471915.

It is an arithmetic number, because the mean of its divisors is an integer number (311124240).

Almost surely, 2^83876247840 is an apocalyptic number.

83876247840 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 83876247840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179207562240).

83876247840 is an abundant number, since it is smaller than the sum of its proper divisors (274538876640).

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

83876247840 is a wasteful number, since it uses less digits than its factorization.

83876247840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 83876247840 in words is "eighty-three billion, eight hundred seventy-six million, two hundred forty-seven thousand, eight hundred forty".