76326880 has 96 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 25022976.

The previous prime is 76326851. The next prime is 76326881. The reversal of 76326880 is 8862367.

It is a happy number.

It is a super-3 number, since 3×76326880³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76326881) 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, 24279 + ... + 27241.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 2^76326880 is an apocalyptic number.

76326880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

76326880 is an abundant number, since it is smaller than the sum of its proper divisors (138788384).

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

76326880 is a wasteful number, since it uses less digits than its factorization.

76326880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 76326880 is about 8736.5256252128. The cubic root of 76326880 is about 424.1887731865.

The spelling of 76326880 in words is "seventy-six million, three hundred twenty-six thousand, eight hundred eighty".