76367712 has 96 divisors (see below), whose sum is σ = 207446400. Its totient is φ = 24588288.

The previous prime is 76367693. The next prime is 76367713. The reversal of 76367712 is 21776367.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×76367712² = 11664054872229888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76367713) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 549339 + ... + 549477.

It is an arithmetic number, because the mean of its divisors is an integer number (2160900).

Almost surely, 2^76367712 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 76367712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103723200).

76367712 is an abundant number, since it is smaller than the sum of its proper divisors (131078688).

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

76367712 is a wasteful number, since it uses less digits than its factorization.

76367712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The square root of 76367712 is about 8738.8621684977. The cubic root of 76367712 is about 424.2644013632.

The spelling of 76367712 in words is "seventy-six million, three hundred sixty-seven thousand, seven hundred twelve".