8102300400 has 180 divisors, whose sum is σ = 29158961832. Its totient is φ = 2160587520.

The previous prime is 8102300377. The next prime is 8102300431. The reversal of 8102300400 is 40032018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55522 + ... + 138878.

Almost surely, 2^8102300400 is an apocalyptic number.

8102300400 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 8102300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14579480916).

8102300400 is an abundant number, since it is smaller than the sum of its proper divisors (21056661432).

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

8102300400 is a wasteful number, since it uses less digits than its factorization.

8102300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83390 (or 83367 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8102300400 is about 90012.7790927488. The cubic root of 8102300400 is about 2008.4889512092.

Adding to 8102300400 its reverse (40032018), we get a palindrome (8142332418).

The spelling of 8102300400 in words is "eight billion, one hundred two million, three hundred thousand, four hundred".