82296077760 has 420 divisors, whose sum is σ = 317009285208. Its totient is φ = 20256417792.

The previous prime is 82296077753. The next prime is 82296077833. The reversal of 82296077760 is 6777069228.

82296077760 is a `hidden beast` number, since 8 + 2 + 29 + 607 + 7 + 7 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82296077697 and 82296077706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4371087 + ... + 4389873.

Almost surely, 2^82296077760 is an apocalyptic number.

82296077760 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 82296077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158504642604).

82296077760 is an abundant number, since it is smaller than the sum of its proper divisors (234713207448).

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

82296077760 is a wasteful number, since it uses less digits than its factorization.

82296077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18842 (or 18810 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 82296077760 in words is "eighty-two billion, two hundred ninety-six million, seventy-seven thousand, seven hundred sixty".