76028760 has 256 divisors, whose sum is σ = 277603200. Its totient is φ = 18432000.

The previous prime is 76028759. The next prime is 76028761. The reversal of 76028760 is 6782067.

It is an interprime number because it is at equal distance from previous prime (76028759) and next prime (76028761).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76028761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 752710 + ... + 752810.

Almost surely, 2^76028760 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 76028760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

76028760 is an abundant number, since it is smaller than the sum of its proper divisors (201574440).

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

76028760 is a wasteful number, since it uses less digits than its factorization.

76028760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 76028760 is about 8719.4472301861. The cubic root of 76028760 is about 423.6357825144.

The spelling of 76028760 in words is "seventy-six million, twenty-eight thousand, seven hundred sixty".