873998400 has 168 divisors, whose sum is σ = 3128308704. Its totient is φ = 211865600.

The previous prime is 873998399. The next prime is 873998401. The reversal of 873998400 is 4899378.

It is an interprime number because it is at equal distance from previous prime (873998399) and next prime (873998401).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 873998400.

It is not an unprimeable number, because it can be changed into a prime (873998401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44524 + ... + 61076.

Almost surely, 2^873998400 is an apocalyptic number.

873998400 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 873998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564154352).

873998400 is an abundant number, since it is smaller than the sum of its proper divisors (2254310304).

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

873998400 is a wasteful number, since it uses less digits than its factorization.

873998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16589 (or 16574 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 873998400 is about 29563.4639377729. The cubic root of 873998400 is about 956.1005012133.

The spelling of 873998400 in words is "eight hundred seventy-three million, nine hundred ninety-eight thousand, four hundred".