82922273280 has 960 divisors, whose sum is σ = 366710243328. Its totient is φ = 16814407680.

The previous prime is 82922273233. The next prime is 82922273293. The reversal of 82922273280 is 8237222928.

82922273280 is a `hidden beast` number, since 82 + 9 + 22 + 273 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×82922273280² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76284897 + ... + 76285983.

Almost surely, 2^82922273280 is an apocalyptic number.

82922273280 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 82922273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183355121664).

82922273280 is an abundant number, since it is smaller than the sum of its proper divisors (283787970048).

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

82922273280 is a wasteful number, since it uses less digits than its factorization.

82922273280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 82922273280 in words is "eighty-two billion, nine hundred twenty-two million, two hundred seventy-three thousand, two hundred eighty".