76561100 has 144 divisors (see below), whose sum is σ = 211819776. Its totient is φ = 23328000.

The previous prime is 76561099. The next prime is 76561129. The reversal of 76561100 is 116567.

It is a self number, because there is not a number n which added to its sum of digits gives 76561100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469619 + ... + 469781.

Almost surely, 2^76561100 is an apocalyptic number.

76561100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76561100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105909888).

76561100 is an abundant number, since it is smaller than the sum of its proper divisors (135258676).

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

76561100 is a wasteful number, since it uses less digits than its factorization.

76561100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 76561100 is about 8749.9199996343. The cubic root of 76561100 is about 424.6222248553.

Adding to 76561100 its reverse (116567), we get a palindrome (76677667).

The spelling of 76561100 in words is "seventy-six million, five hundred sixty-one thousand, one hundred".