82878707520 has 672 divisors, whose sum is σ = 341255835648. Its totient is φ = 18753472512.

The previous prime is 82878707491. The next prime is 82878707521. The reversal of 82878707520 is 2570787828.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82878707521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58241529 + ... + 58242951.

It is an arithmetic number, because the mean of its divisors is an integer number (507821184).

Almost surely, 2^82878707520 is an apocalyptic number.

82878707520 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 82878707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170627917824).

82878707520 is an abundant number, since it is smaller than the sum of its proper divisors (258377128128).

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

82878707520 is a wasteful number, since it uses less digits than its factorization.

82878707520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 82878707520 in words is "eighty-two billion, eight hundred seventy-eight million, seven hundred seven thousand, five hundred twenty".