7742112100 has 72 divisors (see below), whose sum is σ = 16946243496. Its totient is φ = 3070080000.

The previous prime is 7742112073. The next prime is 7742112109. The reversal of 7742112100 is 12112477.

It can be written as a sum of positive squares in 12 ways, for example, as 6165704484 + 1576407616 = 78522^2 + 39704^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (7742112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9429690 + ... + 9430510.

It is an arithmetic number, because the mean of its divisors is an integer number (235364493).

Almost surely, 2^7742112100 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 7742112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8473121748).

7742112100 is an abundant number, since it is smaller than the sum of its proper divisors (9204131396).

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

7742112100 is a wasteful number, since it uses less digits than its factorization.

7742112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 7742112100 is about 87989.2726416124. The cubic root of 7742112100 is about 1978.2741908429.

Adding to 7742112100 its reverse (12112477), we get a palindrome (7754224577).

The spelling of 7742112100 in words is "seven billion, seven hundred forty-two million, one hundred twelve thousand, one hundred".