76128416 has 72 divisors (see below), whose sum is σ = 185570784. Its totient is φ = 30101760.

The previous prime is 76128407. The next prime is 76128449. The reversal of 76128416 is 61482167.

76128416 = T₂₃₁ + T₂₃₂ + ... + T₇₇₆.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36851 + ... + 38861.

It is an arithmetic number, because the mean of its divisors is an integer number (2577372).

Almost surely, 2^76128416 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 76128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92785392).

76128416 is an abundant number, since it is smaller than the sum of its proper divisors (109442368).

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

76128416 is a wasteful number, since it uses less digits than its factorization.

76128416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2033 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 76128416 is about 8725.1599412274. The cubic root of 76128416 is about 423.8207976545.

The spelling of 76128416 in words is "seventy-six million, one hundred twenty-eight thousand, four hundred sixteen".