7250882100 has 288 divisors, whose sum is σ = 26530301952. Its totient is φ = 1485120000.

The previous prime is 7250882083. The next prime is 7250882123. The reversal of 7250882100 is 12880527.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1637890 + ... + 1642310.

It is an arithmetic number, because the mean of its divisors is an integer number (92119104).

Almost surely, 2^7250882100 is an apocalyptic number.

7250882100 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 7250882100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265150976).

7250882100 is an abundant number, since it is smaller than the sum of its proper divisors (19279419852).

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

7250882100 is a wasteful number, since it uses less digits than its factorization.

7250882100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 7250882100 is about 85152.1115416406. Note that the first 3 decimals coincide. The cubic root of 7250882100 is about 1935.5168113901.

The spelling of 7250882100 in words is "seven billion, two hundred fifty million, eight hundred eighty-two thousand, one hundred".