8056729400 has 96 divisors (see below), whose sum is σ = 19256624640. Its totient is φ = 3133119360.

The previous prime is 8056729379. The next prime is 8056729481. The reversal of 8056729400 is 49276508.

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 23 ways as a sum of consecutive naturals, for example, 1950137 + ... + 1954263.

It is an arithmetic number, because the mean of its divisors is an integer number (200589840).

Almost surely, 2^8056729400 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 8056729400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9628312320).

8056729400 is an abundant number, since it is smaller than the sum of its proper divisors (11199895240).

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

8056729400 is a wasteful number, since it uses less digits than its factorization.

8056729400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 8056729400 is about 89759.2858705995. The cubic root of 8056729400 is about 2004.7163194232.

The spelling of 8056729400 in words is "eight billion, fifty-six million, seven hundred twenty-nine thousand, four hundred".