7834020100 has 81 divisors (see below), whose sum is σ = 17431000447. Its totient is φ = 3056073280.

The previous prime is 7834020083. The next prime is 7834020107. The reversal of 7834020100 is 10204387.

The square root of 7834020100 is 88510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 59013124 + 7775006976 = 7682^2 + 88176^2 .

It is a super-2 number, since 2×7834020100² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7834020107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46910217 + ... + 46910383.

Almost surely, 2^7834020100 is an apocalyptic number.

7834020100 is the 88510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7834020100

7834020100 is an abundant number, since it is smaller than the sum of its proper divisors (9596980347).

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

7834020100 is a wasteful number, since it uses less digits than its factorization.

7834020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The cubic root of 7834020100 is about 1986.0715662106.

Multiplying 7834020100 by its sum of digits (25), we get a square (195850502500 = 442550²).

7834020100 divided by its sum of digits (25) gives a square (313360804 = 17702²).

Adding to 7834020100 its reverse (10204387), we get a palindrome (7844224487).

The spelling of 7834020100 in words is "seven billion, eight hundred thirty-four million, twenty thousand, one hundred".