7480520100 has 225 divisors, whose sum is σ = 25057186385. Its totient is φ = 1930456800.

The previous prime is 7480520083. The next prime is 7480520111. The reversal of 7480520100 is 10250847.

The square root of 7480520100 is 86490.

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

It can be written as a sum of positive squares in only one way, i.e., 2692987236 + 4787532864 = 51894^2 + 69192^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 241307085 + ... + 241307115.

Almost surely, 2^7480520100 is an apocalyptic number.

7480520100 is the 86490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7480520100

7480520100 is an abundant number, since it is smaller than the sum of its proper divisors (17576666285).

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

7480520100 is an frugal number, since it uses more digits than its factorization.

7480520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The cubic root of 7480520100 is about 1955.7376572391.

Adding to 7480520100 its reverse (10250847), we get a palindrome (7490770947).

The spelling of 7480520100 in words is "seven billion, four hundred eighty million, five hundred twenty thousand, one hundred".