83760803840 has 624 divisors, whose sum is σ = 258169835520. Its totient is φ = 25887375360.

The previous prime is 83760803837. The next prime is 83760803843. The reversal of 83760803840 is 4830806738.

It is an interprime number because it is at equal distance from previous prime (83760803837) and next prime (83760803843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83760803843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438538145 + ... + 438538335.

Almost surely, 2^83760803840 is an apocalyptic number.

83760803840 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 83760803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129084917760).

83760803840 is an abundant number, since it is smaller than the sum of its proper divisors (174409031680).

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

83760803840 is a wasteful number, since it uses less digits than its factorization.

83760803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 83760803840 in words is "eighty-three billion, seven hundred sixty million, eight hundred three thousand, eight hundred forty".