76244505876100 has 81 divisors (see below), whose sum is σ = 165826791056493. Its totient is φ = 30428611488000.

The previous prime is 76244505876089. The next prime is 76244505876107. The reversal of 76244505876100 is 167850544267.

The square root of 76244505876100 is 8731810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 815419836036 + 75429086040064 = 903006^2 + 8684992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76244505876107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57717263440 + ... + 57717264760.

Almost surely, 2^{76244505876100} is an apocalyptic number.

76244505876100 is the 8731810-th square number.

It is an amenable number.

76244505876100 is an abundant number, since it is smaller than the sum of its proper divisors (89582285180393).

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

76244505876100 is an frugal number, since it uses more digits than its factorization.

76244505876100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 76244505876100 in words is "seventy-six trillion, two hundred forty-four billion, five hundred five million, eight hundred seventy-six thousand, one hundred".