8053430400 has 384 divisors, whose sum is σ = 31212734400. Its totient is φ = 2020884480.

The previous prime is 8053430369. The next prime is 8053430423. The reversal of 8053430400 is 40343508.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1466059 + ... + 1471541.

Almost surely, 2^8053430400 is an apocalyptic number.

8053430400 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 8053430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606367200).

8053430400 is an abundant number, since it is smaller than the sum of its proper divisors (23159304000).

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

8053430400 is a wasteful number, since it uses less digits than its factorization.

8053430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 8053430400 is about 89740.9070602699. The cubic root of 8053430400 is about 2004.4426574237.

Adding to 8053430400 its reverse (40343508), we get a palindrome (8093773908).

The spelling of 8053430400 in words is "eight billion, fifty-three million, four hundred thirty thousand, four hundred".