76810500 has 216 divisors, whose sum is σ = 264982536. Its totient is φ = 18720000.

The previous prime is 76810457. The next prime is 76810553. The reversal of 76810500 is 501867.

It can be written as a sum of positive squares in 12 ways, for example, as 60746436 + 16064064 = 7794^2 + 4008^2 .

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 760450 + ... + 760550.

It is an arithmetic number, because the mean of its divisors is an integer number (1226771).

Almost surely, 2^76810500 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 76810500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132491268).

76810500 is an abundant number, since it is smaller than the sum of its proper divisors (188172036).

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

76810500 is a wasteful number, since it uses less digits than its factorization.

76810500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 76810500 is about 8764.1599711553. The cubic root of 76810500 is about 425.0827981705.

The spelling of 76810500 in words is "seventy-six million, eight hundred ten thousand, five hundred".