76135080 has 128 divisors (see below), whose sum is σ = 262828800. Its totient is φ = 17283072.

The previous prime is 76135067. The next prime is 76135097. The reversal of 76135080 is 8053167.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195526 + ... + 195914.

It is an arithmetic number, because the mean of its divisors is an integer number (2053350).

Almost surely, 2^76135080 is an apocalyptic number.

76135080 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 76135080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131414400).

76135080 is an abundant number, since it is smaller than the sum of its proper divisors (186693720).

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

76135080 is a wasteful number, since it uses less digits than its factorization.

76135080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 76135080 is about 8725.5418169876. The cubic root of 76135080 is about 423.8331638621.

The spelling of 76135080 in words is "seventy-six million, one hundred thirty-five thousand, eighty".