76051080 has 192 divisors, whose sum is σ = 286191360. Its totient is φ = 17155584.

The previous prime is 76051067. The next prime is 76051111. The reversal of 76051080 is 8015067.

76051080 is a `hidden beast` number, since 76 + 0 + 510 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259414 + ... + 259706.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^76051080 is an apocalyptic number.

76051080 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 76051080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

76051080 is an abundant number, since it is smaller than the sum of its proper divisors (210140280).

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

76051080 is a wasteful number, since it uses less digits than its factorization.

76051080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 76051080 is about 8720.7270339118. The cubic root of 76051080 is about 423.6772344839.

The spelling of 76051080 in words is "seventy-six million, fifty-one thousand, eighty".