77248776 has 64 divisors (see below), whose sum is σ = 217497600. Its totient is φ = 22651200.

The previous prime is 77248771. The next prime is 77248783. The reversal of 77248776 is 67784277.

It is not an unprimeable number, because it can be changed into a prime (77248771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3465 + ... + 12903.

It is an arithmetic number, because the mean of its divisors is an integer number (3398400).

Almost surely, 2^77248776 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 77248776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108748800).

77248776 is an abundant number, since it is smaller than the sum of its proper divisors (140248824).

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

77248776 is a wasteful number, since it uses less digits than its factorization.

77248776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9490 (or 9486 counting only the distinct ones).

The product of its digits is 921984, while the sum is 48.

The square root of 77248776 is about 8789.1282844205. The cubic root of 77248776 is about 425.8897640664.

The spelling of 77248776 in words is "seventy-seven million, two hundred forty-eight thousand, seven hundred seventy-six".