76084680 has 128 divisors (see below), whose sum is σ = 265939200. Its totient is φ = 17052672.

The previous prime is 76084649. The next prime is 76084693. The reversal of 76084680 is 8648067.

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, 43666 + ... + 45374.

It is an arithmetic number, because the mean of its divisors is an integer number (2077650).

Almost surely, 2^76084680 is an apocalyptic number.

76084680 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 76084680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132969600).

76084680 is an abundant number, since it is smaller than the sum of its proper divisors (189854520).

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

76084680 is a wasteful number, since it uses less digits than its factorization.

76084680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 76084680 is about 8722.6532660653. The cubic root of 76084680 is about 423.7396200066.

The spelling of 76084680 in words is "seventy-six million, eighty-four thousand, six hundred eighty".