76874760 has 96 divisors (see below), whose sum is σ = 263016000. Its totient is φ = 19419264.

The previous prime is 76874747. The next prime is 76874773. The reversal of 76874760 is 6747867.

It is an interprime number because it is at equal distance from previous prime (76874747) and next prime (76874773).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221 + ... + 12459.

It is an arithmetic number, because the mean of its divisors is an integer number (2739750).

Almost surely, 2^76874760 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 76874760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131508000).

76874760 is an abundant number, since it is smaller than the sum of its proper divisors (186141240).

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

76874760 is a wasteful number, since it uses less digits than its factorization.

76874760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 76874760 is about 8767.8252719816. The cubic root of 76874760 is about 425.2013071705.

The spelling of 76874760 in words is "seventy-six million, eight hundred seventy-four thousand, seven hundred sixty".