82625760 has 216 divisors, whose sum is σ = 328274856. Its totient is φ = 18869760.

The previous prime is 82625749. The next prime is 82625791. The reversal of 82625760 is 6752628.

82625760 is a `hidden beast` number, since 82 + 6 + 2 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69975 + ... + 71145.

It is an arithmetic number, because the mean of its divisors is an integer number (1519791).

Almost surely, 2^82625760 is an apocalyptic number.

82625760 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 82625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164137428).

82625760 is an abundant number, since it is smaller than the sum of its proper divisors (245649096).

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

82625760 is a wasteful number, since it uses less digits than its factorization.

82625760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 82625760 is about 9089.8712862174. The cubic root of 82625760 is about 435.5504723519.

The spelling of 82625760 in words is "eighty-two million, six hundred twenty-five thousand, seven hundred sixty".