8530790400 has 1080 divisors, whose sum is σ = 36772665930. Its totient is φ = 1946419200.

The previous prime is 8530790399. The next prime is 8530790441. The reversal of 8530790400 is 40970358.

It can be written as a sum of positive squares in 3 ways, for example, as 7316407296 + 1214383104 = 85536^2 + 34848^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-4 number, since 4×8530790400⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 501811192 + ... + 501811208.

Almost surely, 2^8530790400 is an apocalyptic number.

8530790400 is a gapful number since it is divisible by the number (80) 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 8530790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18386332965).

8530790400 is an abundant number, since it is smaller than the sum of its proper divisors (28241875530).

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

8530790400 is a wasteful number, since it uses less digits than its factorization.

8530790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8530790400 is about 92362.2780143496. The cubic root of 8530790400 is about 2043.2888126954.

The spelling of 8530790400 in words is "eight billion, five hundred thirty million, seven hundred ninety thousand, four hundred".