8074889400 has 192 divisors, whose sum is σ = 25434622080. Its totient is φ = 2118976000.

The previous prime is 8074889399. The next prime is 8074889411. The reversal of 8074889400 is 49884708.

It is a self number, because there is not a number n which added to its sum of digits gives 8074889400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13755907 + ... + 13756493.

It is an arithmetic number, because the mean of its divisors is an integer number (132471990).

Almost surely, 2^8074889400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8074889400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12717311040).

8074889400 is an abundant number, since it is smaller than the sum of its proper divisors (17359732680).

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

8074889400 is a wasteful number, since it uses less digits than its factorization.

8074889400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 8074889400 is about 89860.3883810881. The cubic root of 8074889400 is about 2006.2214102932.

The spelling of 8074889400 in words is "eight billion, seventy-four million, eight hundred eighty-nine thousand, four hundred".