76661010 has 96 divisors (see below), whose sum is σ = 212060160. Its totient is φ = 19160064.

The previous prime is 76661009. The next prime is 76661017. The reversal of 76661010 is 1016667.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (76661017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216994 + ... + 217346.

It is an arithmetic number, because the mean of its divisors is an integer number (2208960).

Almost surely, 2^76661010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76661010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106030080).

76661010 is an abundant number, since it is smaller than the sum of its proper divisors (135399150).

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

76661010 is a wasteful number, since it uses less digits than its factorization.

76661010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 76661010 is about 8755.6273333211. The cubic root of 76661010 is about 424.8068511030.

Adding to 76661010 its reverse (1016667), we get a palindrome (77677677).

It can be divided in two parts, 766 and 61010, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 76661010 in words is "seventy-six million, six hundred sixty-one thousand, ten".