83004723760 has 80 divisors (see below), whose sum is σ = 220773369600. Its totient is φ = 28430638848.

The previous prime is 83004723709. The next prime is 83004723773. The reversal of 83004723760 is 6732740038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497911 + ... + 643369.

It is an arithmetic number, because the mean of its divisors is an integer number (2759667120).

Almost surely, 2^83004723760 is an apocalyptic number.

83004723760 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 83004723760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110386684800).

83004723760 is an abundant number, since it is smaller than the sum of its proper divisors (137768645840).

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

83004723760 is a wasteful number, since it uses less digits than its factorization.

83004723760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146498 (or 146492 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 83004723760 in words is "eighty-three billion, four million, seven hundred twenty-three thousand, seven hundred sixty".