76300016 has 80 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 32778240.

The previous prime is 76299911. The next prime is 76300027. The reversal of 76300016 is 61000367.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 76299964 and 76300000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195950 + ... + 196338.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2^76300016 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 76300016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

76300016 is an abundant number, since it is smaller than the sum of its proper divisors (94314064).

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

76300016 is a wasteful number, since it uses less digits than its factorization.

76300016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 76300016 is about 8734.9880366260. The cubic root of 76300016 is about 424.1390015361.

The spelling of 76300016 in words is "seventy-six million, three hundred thousand, sixteen".