7405085800 has 216 divisors, whose sum is σ = 20488630050. Its totient is φ = 2481722880.

The previous prime is 7405085729. The next prime is 7405085801. The reversal of 7405085800 is 85805047.

It can be written as a sum of positive squares in 9 ways, for example, as 342028036 + 7063057764 = 18494^2 + 84042^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7405085800.

It is not an unprimeable number, because it can be changed into a prime (7405085801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27528066 + ... + 27528334.

Almost surely, 2^7405085800 is an apocalyptic number.

7405085800 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 7405085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244315025).

7405085800 is an abundant number, since it is smaller than the sum of its proper divisors (13083544250).

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

7405085800 is a wasteful number, since it uses less digits than its factorization.

7405085800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 7405085800 is about 86052.8082051946. The cubic root of 7405085800 is about 1949.1414848916.

The spelling of 7405085800 in words is "seven billion, four hundred five million, eighty-five thousand, eight hundred".