76000760 has 64 divisors (see below), whose sum is σ = 196387200. Its totient is φ = 26179200.

The previous prime is 76000759. The next prime is 76000787. The reversal of 76000760 is 6700067.

76000760 = 496² + 497² + ... + 704².

It is a super-2 number, since 2×76000760² = 11552231041155200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3815 + ... + 12905.

It is an arithmetic number, because the mean of its divisors is an integer number (3068550).

Almost surely, 2^76000760 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 76000760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98193600).

76000760 is an abundant number, since it is smaller than the sum of its proper divisors (120386440).

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

76000760 is a wasteful number, since it uses less digits than its factorization.

76000760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9128 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 76000760 is about 8717.8414759618. The cubic root of 76000760 is about 423.5837703620.

It can be divided in two parts, 760007 and 60, that added together give a palindrome (760067).

The spelling of 76000760 in words is "seventy-six million, seven hundred sixty", and thus it is an aban number.