82151280 has 160 divisors (see below), whose sum is σ = 287392320. Its totient is φ = 21565440.

The previous prime is 82151273. The next prime is 82151297. The reversal of 82151280 is 8215128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157420 + ... + 157940.

It is an arithmetic number, because the mean of its divisors is an integer number (1796202).

Almost surely, 2^82151280 is an apocalyptic number.

82151280 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 82151280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143696160).

82151280 is an abundant number, since it is smaller than the sum of its proper divisors (205241040).

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

82151280 is a wasteful number, since it uses less digits than its factorization.

82151280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 82151280 is about 9063.7343297341. The cubic root of 82151280 is about 434.7151523985.

The spelling of 82151280 in words is "eighty-two million, one hundred fifty-one thousand, two hundred eighty".