83878003440 has 1440 divisors, whose sum is σ = 386055290880. Its totient is φ = 16381854720.

The previous prime is 83878003411. The next prime is 83878003487. The reversal of 83878003440 is 4430087838.

It is a happy number.

It is a super-2 number, since 2×83878003440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 660456657 + ... + 660456783.

It is an arithmetic number, because the mean of its divisors is an integer number (268093952).

Almost surely, 2^83878003440 is an apocalyptic number.

83878003440 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 83878003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193027645440).

83878003440 is an abundant number, since it is smaller than the sum of its proper divisors (302177287440).

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

83878003440 is a wasteful number, since it uses less digits than its factorization.

83878003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 83878003440 in words is "eighty-three billion, eight hundred seventy-eight million, three thousand, four hundred forty".