8072282400 has 576 divisors, whose sum is σ = 33765838848. Its totient is φ = 1628098560.

The previous prime is 8072282399. The next prime is 8072282429. The reversal of 8072282400 is 42822708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5022397 + ... + 5024003.

It is an arithmetic number, because the mean of its divisors is an integer number (58621248).

Almost surely, 2^8072282400 is an apocalyptic number.

8072282400 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 8072282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16882919424).

8072282400 is an abundant number, since it is smaller than the sum of its proper divisors (25693556448).

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

8072282400 is a wasteful number, since it uses less digits than its factorization.

8072282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 8072282400 is about 89845.8813747186. The cubic root of 8072282400 is about 2006.0054823747.

It can be divided in two parts, 807228 and 2400, that added together give a triangular number (809628 = T₁₂₇₂).

The spelling of 8072282400 in words is "eight billion, seventy-two million, two hundred eighty-two thousand, four hundred".