7261900800 has 624 divisors, whose sum is σ = 30031744512. Its totient is φ = 1504051200.

The previous prime is 7261900783. The next prime is 7261900801. The reversal of 7261900800 is 80091627.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7261900801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23654247 + ... + 23654553.

Almost surely, 2^7261900800 is an apocalyptic number.

7261900800 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 7261900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015872256).

7261900800 is an abundant number, since it is smaller than the sum of its proper divisors (22769843712).

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

7261900800 is a wasteful number, since it uses less digits than its factorization.

7261900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 7261900800 is about 85216.7870786032. The cubic root of 7261900800 is about 1936.4967420559.

The spelling of 7261900800 in words is "seven billion, two hundred sixty-one million, nine hundred thousand, eight hundred".