7531000816 has 80 divisors (see below), whose sum is σ = 16299804960. Its totient is φ = 3349831680.

The previous prime is 7531000811. The next prime is 7531000819. The reversal of 7531000816 is 6180001357.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7531000811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2691130 + ... + 2693926.

It is an arithmetic number, because the mean of its divisors is an integer number (203747562).

Almost surely, 2^7531000816 is an apocalyptic number.

7531000816 is a gapful number since it is divisible by the number (76) 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 7531000816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8149902480).

7531000816 is an abundant number, since it is smaller than the sum of its proper divisors (8768804144).

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

7531000816 is a wasteful number, since it uses less digits than its factorization.

7531000816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 7531000816 is about 86781.3391000623. The cubic root of 7531000816 is about 1960.1270929665.

The spelling of 7531000816 in words is "seven billion, five hundred thirty-one million, eight hundred sixteen", and thus it is an aban number.