76961010 has 64 divisors (see below), whose sum is σ = 213811200. Its totient is φ = 17364672.

The previous prime is 76961009. The next prime is 76961011. The reversal of 76961010 is 1016967.

It is an interprime number because it is at equal distance from previous prime (76961009) and next prime (76961011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (76961011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14271 + ... + 18909.

It is an arithmetic number, because the mean of its divisors is an integer number (3340800).

Almost surely, 2^76961010 is an apocalyptic number.

76961010 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76961010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106905600).

76961010 is an abundant number, since it is smaller than the sum of its proper divisors (136850190).

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

76961010 is a wasteful number, since it uses less digits than its factorization.

76961010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735.

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 76961010 is about 8772.7424446407. The cubic root of 76961010 is about 425.3602666084.

Adding to 76961010 its reverse (1016967), we get a palindrome (77977977).

The spelling of 76961010 in words is "seventy-six million, nine hundred sixty-one thousand, ten".