76296096 has 144 divisors (see below), whose sum is σ = 232727040. Its totient is φ = 23639040.

The previous prime is 76296091. The next prime is 76296167. The reversal of 76296096 is 69069267.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (76296091) 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 23 ways as a sum of consecutive naturals, for example, 399361 + ... + 399551.

It is an arithmetic number, because the mean of its divisors is an integer number (1616160).

Almost surely, 2^76296096 is an apocalyptic number.

76296096 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 76296096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

76296096 is an abundant number, since it is smaller than the sum of its proper divisors (156430944).

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

76296096 is a wasteful number, since it uses less digits than its factorization.

76296096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 76296096 is about 8734.7636487772. The cubic root of 76296096 is about 424.1317378707.

The spelling of 76296096 in words is "seventy-six million, two hundred ninety-six thousand, ninety-six".