82707900 has 144 divisors (see below), whose sum is σ = 265483008. Its totient is φ = 19712000.

The previous prime is 82707899. The next prime is 82707917. The reversal of 82707900 is 970728.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234124 + ... + 234476.

It is an arithmetic number, because the mean of its divisors is an integer number (1843632).

Almost surely, 2^82707900 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 82707900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132741504).

82707900 is an abundant number, since it is smaller than the sum of its proper divisors (182775108).

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

82707900 is a wasteful number, since it uses less digits than its factorization.

82707900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 82707900 is about 9094.3883796548. The cubic root of 82707900 is about 435.6947545026.

The spelling of 82707900 in words is "eighty-two million, seven hundred seven thousand, nine hundred".