872280100692 has 756 divisors, whose sum is σ = 3152305250388. Its totient is φ = 209084198400.

The previous prime is 872280100633. The next prime is 872280100693. The reversal of 872280100692 is 296001082278.

It can be written as a sum of positive squares in 2 ways, for example, as 324496565316 + 547783535376 = 569646^2 + 740124^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872280100693) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 224754592 + ... + 224758472.

Almost surely, 2^872280100692 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 872280100692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576152625194).

872280100692 is an abundant number, since it is smaller than the sum of its proper divisors (2280025149696).

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

872280100692 is a wasteful number, since it uses less digits than its factorization.

872280100692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 872280100692 in words is "eight hundred seventy-two billion, two hundred eighty million, one hundred thousand, six hundred ninety-two".