82750080 has 256 divisors, whose sum is σ = 310210560. Its totient is φ = 18370560.

The previous prime is 82750069. The next prime is 82750117. The reversal of 82750080 is 8005728.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631615 + ... + 631745.

It is an arithmetic number, because the mean of its divisors is an integer number (1211760).

Almost surely, 2^82750080 is an apocalyptic number.

82750080 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 82750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280).

82750080 is an abundant number, since it is smaller than the sum of its proper divisors (227460480).

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

82750080 is a wasteful number, since it uses less digits than its factorization.

82750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 82750080 is about 9096.7070965267. The cubic root of 82750080 is about 435.7688082166.

The spelling of 82750080 in words is "eighty-two million, seven hundred fifty thousand, eighty".