76493088 has 144 divisors (see below), whose sum is σ = 261817920. Its totient is φ = 20694528.

The previous prime is 76493083. The next prime is 76493141. The reversal of 76493088 is 88039467.

It is a happy number.

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 (76493083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37306 + ... + 39302.

It is an arithmetic number, because the mean of its divisors is an integer number (1818180).

Almost surely, 2^76493088 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 76493088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130908960).

76493088 is an abundant number, since it is smaller than the sum of its proper divisors (185324832).

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

76493088 is a wasteful number, since it uses less digits than its factorization.

76493088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 76493088 is about 8746.0327006020. The cubic root of 76493088 is about 424.4964518343.

The spelling of 76493088 in words is "seventy-six million, four hundred ninety-three thousand, eighty-eight".