76489056 has 96 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 21852288.

The previous prime is 76489051. The next prime is 76489073. The reversal of 76489056 is 65098467.

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

It is a super-2 number, since 2×76489056² = 11701151375542272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76489051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276 + ... + 12371.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^76489056 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 76489056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

76489056 is an abundant number, since it is smaller than the sum of its proper divisors (178494624).

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

76489056 is a wasteful number, since it uses less digits than its factorization.

76489056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12673 (or 12659 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 76489056 is about 8745.8021930524. The cubic root of 76489056 is about 424.4889932093.

The spelling of 76489056 in words is "seventy-six million, four hundred eighty-nine thousand, fifty-six".