76756896 has 72 divisors (see below), whose sum is σ = 226384704. Its totient is φ = 25583040.

The previous prime is 76756891. The next prime is 76756909. The reversal of 76756896 is 69865767.

It is a happy number.

76756896 is a `hidden beast` number, since 76 + 7 + 568 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (76756891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2841 + ... + 12711.

It is an arithmetic number, because the mean of its divisors is an integer number (3144232).

Almost surely, 2^76756896 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 76756896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113192352).

76756896 is an abundant number, since it is smaller than the sum of its proper divisors (149627808).

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

76756896 is an equidigital number, since it uses as much as digits as its factorization.

76756896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9896 (or 9876 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 76756896 is about 8761.1013006357. The cubic root of 76756896 is about 424.9838905082.

The spelling of 76756896 in words is "seventy-six million, seven hundred fifty-six thousand, eight hundred ninety-six".