76123080 has 192 divisors, whose sum is σ = 276307200. Its totient is φ = 18017280.

The previous prime is 76123079. The next prime is 76123081. The reversal of 76123080 is 8032167.

76123080 = T₄₃₉ + T₄₄₀ + ... + T₈₁₄.

It is an interprime number because it is at equal distance from previous prime (76123079) and next prime (76123081).

It is a super-3 number, since 3×76123080³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76123081) 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 47 ways as a sum of consecutive naturals, for example, 185916 + ... + 186324.

It is an arithmetic number, because the mean of its divisors is an integer number (1439100).

Almost surely, 2^76123080 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 76123080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138153600).

76123080 is an abundant number, since it is smaller than the sum of its proper divisors (200184120).

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

76123080 is a wasteful number, since it uses less digits than its factorization.

76123080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76123080 is about 8724.8541535088. The cubic root of 76123080 is about 423.8108952609.

The spelling of 76123080 in words is "seventy-six million, one hundred twenty-three thousand, eighty".