76348100 has 18 divisors (see below), whose sum is σ = 165675594. Its totient is φ = 30539200.

The previous prime is 76348093. The next prime is 76348117. The reversal of 76348100 is 184367.

It can be written as a sum of positive squares in 3 ways, for example, as 15007876 + 61340224 = 3874^2 + 7832^2 .

It is a super-2 number, since 2×76348100² = 11658064747220000, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 381641 + ... + 381840.

Almost surely, 2^76348100 is an apocalyptic number.

It is an amenable number.

76348100 is an abundant number, since it is smaller than the sum of its proper divisors (89327494).

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

76348100 is a wasteful number, since it uses less digits than its factorization.

76348100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763495 (or 763488 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 76348100 is about 8737.7399823982. The cubic root of 76348100 is about 424.2280797923.

The spelling of 76348100 in words is "seventy-six million, three hundred forty-eight thousand, one hundred".