7258540800 has 432 divisors, whose sum is σ = 27920712960. Its totient is φ = 1626193920.

The previous prime is 7258540771. The next prime is 7258540801. The reversal of 7258540800 is 80458527.

It is not an unprimeable number, because it can be changed into a prime (7258540801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7122691 + ... + 7123709.

It is an arithmetic number, because the mean of its divisors is an integer number (64631280).

Almost surely, 2^7258540800 is an apocalyptic number.

7258540800 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 7258540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13960356480).

7258540800 is an abundant number, since it is smaller than the sum of its proper divisors (20662172160).

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

7258540800 is a wasteful number, since it uses less digits than its factorization.

7258540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 7258540800 is about 85197.0703721671. The cubic root of 7258540800 is about 1936.1980308779.

The spelling of 7258540800 in words is "seven billion, two hundred fifty-eight million, five hundred forty thousand, eight hundred".