7656012100 has 144 divisors (see below), whose sum is σ = 18473567616. Its totient is φ = 2730880000.

The previous prime is 7656012097. The next prime is 7656012109. The reversal of 7656012100 is 12106567.

It is a super-2 number, since 2×7656012100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7656012109) 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, 15220449 + ... + 15220951.

It is an arithmetic number, because the mean of its divisors is an integer number (128288664).

Almost surely, 2^7656012100 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 7656012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9236783808).

7656012100 is an abundant number, since it is smaller than the sum of its proper divisors (10817555516).

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

7656012100 is a wasteful number, since it uses less digits than its factorization.

7656012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 7656012100 is about 87498.6405608681. The cubic root of 7656012100 is about 1970.9133765176.

Adding to 7656012100 its reverse (12106567), we get a palindrome (7668118667).

The spelling of 7656012100 in words is "seven billion, six hundred fifty-six million, twelve thousand, one hundred".