76406080 has 56 divisors (see below), whose sum is σ = 183638952. Its totient is φ = 30277632.

The previous prime is 76406009. The next prime is 76406089. The reversal of 76406080 is 8060467.

It can be written as a sum of positive squares in 4 ways, for example, as 10601536 + 65804544 = 3256^2 + 8112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76406089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35104 + ... + 37216.

It is an arithmetic number, because the mean of its divisors is an integer number (3279267).

Almost surely, 2^76406080 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 76406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91819476).

76406080 is an abundant number, since it is smaller than the sum of its proper divisors (107232872).

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

76406080 is a wasteful number, since it uses less digits than its factorization.

76406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 76406080 is about 8741.0571443047. The cubic root of 76406080 is about 424.3354412079.

The spelling of 76406080 in words is "seventy-six million, four hundred six thousand, eighty".