873806534400 has 216 divisors, whose sum is σ = 3035520853120. Its totient is φ = 220751032320.

The previous prime is 873806534399. The next prime is 873806534407. The reversal of 873806534400 is 4435608378.

873806534400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 873806534400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873806534407) 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, 832852 + ... + 1562451.

Almost surely, 2^873806534400 is an apocalyptic number.

873806534400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

873806534400 is an abundant number, since it is smaller than the sum of its proper divisors (2161714318720).

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

873806534400 is a wasteful number, since it uses less digits than its factorization.

873806534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395351 (or 2395332 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 873806534400 in words is "eight hundred seventy-three billion, eight hundred six million, five hundred thirty-four thousand, four hundred".