899078400 has 648 divisors, whose sum is σ = 3708061280. Its totient is φ = 212889600.

The previous prime is 899078393. The next prime is 899078407. The reversal of 899078400 is 4870998.

It is an interprime number because it is at equal distance from previous prime (899078393) and next prime (899078407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (899078407) 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 71 ways as a sum of consecutive naturals, for example, 20908779 + ... + 20908821.

Almost surely, 2^899078400 is an apocalyptic number.

899078400 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 899078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854030640).

899078400 is an abundant number, since it is smaller than the sum of its proper divisors (2808982880).

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

899078400 is a wasteful number, since it uses less digits than its factorization.

899078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 899078400 is about 29984.6360658254. The cubic root of 899078400 is about 965.1597183440.

The spelling of 899078400 in words is "eight hundred ninety-nine million, seventy-eight thousand, four hundred".