75820414100 has 72 divisors (see below), whose sum is σ = 168114656640. Its totient is φ = 29668101120.

The previous prime is 75820414099. The next prime is 75820414127. The reversal of 75820414100 is 141402857.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18360836 + ... + 18364964.

Almost surely, 2^75820414100 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 75820414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84057328320).

75820414100 is an abundant number, since it is smaller than the sum of its proper divisors (92294242540).

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

75820414100 is a wasteful number, since it uses less digits than its factorization.

75820414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8097 (or 8090 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

Adding to 75820414100 its reverse (141402857), we get a palindrome (75961816957).

The spelling of 75820414100 in words is "seventy-five billion, eight hundred twenty million, four hundred fourteen thousand, one hundred".