7672020100 has 72 divisors (see below), whose sum is σ = 17649370368. Its totient is φ = 2884723200.

The previous prime is 7672020073. The next prime is 7672020119. The reversal of 7672020100 is 10202767.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1668805 + ... + 1673395.

It is an arithmetic number, because the mean of its divisors is an integer number (245130144).

Almost surely, 2^7672020100 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 7672020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8824685184).

7672020100 is an abundant number, since it is smaller than the sum of its proper divisors (9977350268).

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

7672020100 is a wasteful number, since it uses less digits than its factorization.

7672020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 7672020100 is about 87590.0685009436. The cubic root of 7672020100 is about 1972.2860849547.

Adding to 7672020100 its reverse (10202767), we get a palindrome (7682222867).

The spelling of 7672020100 in words is "seven billion, six hundred seventy-two million, twenty thousand, one hundred".