76823088 has 80 divisors (see below), whose sum is σ = 207055200. Its totient is φ = 24514560.

The previous prime is 76823081. The next prime is 76823101. The reversal of 76823088 is 88032867.

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 not an unprimeable number, because it can be changed into a prime (76823081) 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, 318648 + ... + 318888.

It is an arithmetic number, because the mean of its divisors is an integer number (2588190).

Almost surely, 2^76823088 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 76823088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103527600).

76823088 is an abundant number, since it is smaller than the sum of its proper divisors (130232112).

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

76823088 is a wasteful number, since it uses less digits than its factorization.

76823088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 76823088 is about 8764.8780938471. The cubic root of 76823088 is about 425.1060183030.

The spelling of 76823088 in words is "seventy-six million, eight hundred twenty-three thousand, eighty-eight".