77248999890 has 128 divisors (see below), whose sum is σ = 208202400000. Its totient is φ = 20379760128.

The previous prime is 77248999853. The next prime is 77248999907. The reversal of 77248999890 is 9899984277.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30304336 + ... + 30306884.

It is an arithmetic number, because the mean of its divisors is an integer number (1626581250).

Almost surely, 2^77248999890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77248999890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104101200000).

77248999890 is an abundant number, since it is smaller than the sum of its proper divisors (130953400110).

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

77248999890 is a wasteful number, since it uses less digits than its factorization.

77248999890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 77248999890 in words is "seventy-seven billion, two hundred forty-eight million, nine hundred ninety-nine thousand, eight hundred ninety".