76010080 has 48 divisors (see below), whose sum is σ = 180339264. Its totient is φ = 30274560.

The previous prime is 76010071. The next prime is 76010083. The reversal of 76010080 is 8001067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76010083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42484 + ... + 44236.

It is an arithmetic number, because the mean of its divisors is an integer number (3757068).

Almost surely, 2^76010080 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 76010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90169632).

76010080 is an abundant number, since it is smaller than the sum of its proper divisors (104329184).

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

76010080 is a wasteful number, since it uses less digits than its factorization.

76010080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 76010080 is about 8718.3759955625. The cubic root of 76010080 is about 423.6010843966.

The spelling of 76010080 in words is "seventy-six million, ten thousand, eighty".