8390054400 has 720 divisors, whose sum is σ = 34822396224. Its totient is φ = 1770209280.

The previous prime is 8390054381. The next prime is 8390054411. The reversal of 8390054400 is 44500938.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 645388794 + ... + 645388806.

Almost surely, 2^8390054400 is an apocalyptic number.

8390054400 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 8390054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17411198112).

8390054400 is an abundant number, since it is smaller than the sum of its proper divisors (26432341824).

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

8390054400 is an frugal number, since it uses more digits than its factorization.

8390054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 8390054400 is about 91597.2401330957. The cubic root of 8390054400 is about 2031.9901212655.

The spelling of 8390054400 in words is "eight billion, three hundred ninety million, fifty-four thousand, four hundred".