82737480 has 96 divisors (see below), whose sum is σ = 288757440. Its totient is φ = 18910080.

The previous prime is 82737449. The next prime is 82737497. The reversal of 82737480 is 8473728.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156 + ... + 12915.

It is an arithmetic number, because the mean of its divisors is an integer number (3007890).

Almost surely, 2^82737480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82737480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144378720).

82737480 is an abundant number, since it is smaller than the sum of its proper divisors (206019960).

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

82737480 is a wasteful number, since it uses less digits than its factorization.

82737480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14099 (or 14088 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 82737480 is about 9096.0145118618. The cubic root of 82737480 is about 435.7466895444.

It can be divided in two parts, 8273 and 7480, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 82737480 in words is "eighty-two million, seven hundred thirty-seven thousand, four hundred eighty".