8074100736 has 357 divisors, whose sum is σ = 26216690349. Its totient is φ = 2484338688.

The previous prime is 8074100729. The next prime is 8074100777. The reversal of 8074100736 is 6370014708.

The square root of 8074100736 is 89856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1194393600 + 6879707136 = 34560^2 + 82944^2 .

It is a super-2 number, since 2×8074100736² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8074100736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 621084666 + ... + 621084678.

Almost surely, 2^8074100736 is an apocalyptic number.

8074100736 is the 89856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8074100736

8074100736 is an abundant number, since it is smaller than the sum of its proper divisors (18142589613).

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

8074100736 is an frugal number, since it uses more digits than its factorization.

8074100736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The cubic root of 8074100736 is about 2006.1560931502.

Multiplying 8074100736 by its sum of digits (36), we get a square (290667626496 = 539136²).

8074100736 divided by its sum of digits (36) gives a square (224280576 = 14976²).

Multiplying 8074100736 by its product of nonzero digits (28224), we get a square (227883419172864 = 15095808²).

The spelling of 8074100736 in words is "eight billion, seventy-four million, one hundred thousand, seven hundred thirty-six".