76056288 has 96 divisors (see below), whose sum is σ = 248935680. Its totient is φ = 19752960.

The previous prime is 76056287. The next prime is 76056319. The reversal of 76056288 is 88265067.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76056287) 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, 2248 + ... + 12536.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2^76056288 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 76056288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124467840).

76056288 is an abundant number, since it is smaller than the sum of its proper divisors (172879392).

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

76056288 is a wasteful number, since it uses less digits than its factorization.

76056288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 76056288 is about 8721.0256277573. The cubic root of 76056288 is about 423.6869054431.

The spelling of 76056288 in words is "seventy-six million, fifty-six thousand, two hundred eighty-eight".