7742212100 has 144 divisors (see below), whose sum is σ = 19633410048. Its totient is φ = 2595317760.

The previous prime is 7742212033. The next prime is 7742212103. The reversal of 7742212100 is 12122477.

It is a self number, because there is not a number n which added to its sum of digits gives 7742212100.

It is not an unprimeable number, because it can be changed into a prime (7742212103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6489104 + ... + 6490296.

Almost surely, 2^7742212100 is an apocalyptic number.

7742212100 is a gapful number since it is divisible by the number (70) 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 7742212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9816705024).

7742212100 is an abundant number, since it is smaller than the sum of its proper divisors (11891197948).

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

7742212100 is a wasteful number, since it uses less digits than its factorization.

7742212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 7742212100 is about 87989.8408908665. The cubic root of 7742212100 is about 1978.2827081814.

Adding to 7742212100 its reverse (12122477), we get a palindrome (7754334577).

The spelling of 7742212100 in words is "seven billion, seven hundred forty-two million, two hundred twelve thousand, one hundred".