77249531844 has 63 divisors (see below), whose sum is σ = 202726687807. Its totient is φ = 25744841064.

The previous prime is 77249531839. The next prime is 77249531851. The reversal of 77249531844 is 44813594277.

The square root of 77249531844 is 277938.

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

77249531844 is a `hidden beast` number, since 7 + 7 + 24 + 9 + 531 + 84 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 15006079 + ... + 15011225.

Almost surely, 2^77249531844 is an apocalyptic number.

77249531844 is the 277938-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77249531844

77249531844 is an abundant number, since it is smaller than the sum of its proper divisors (125477155963).

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

77249531844 is an frugal number, since it uses more digits than its factorization.

77249531844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10316 (or 5152 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 77249531844 in words is "seventy-seven billion, two hundred forty-nine million, five hundred thirty-one thousand, eight hundred forty-four".