77779248 has 80 divisors (see below), whose sum is σ = 209319936. Its totient is φ = 24860160.

The previous prime is 77779241. The next prime is 77779253. The reversal of 77779248 is 84297777.

It is a super-2 number, since 2×77779248² = 12099222838891008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77779248.

It is not an unprimeable number, because it can be changed into a prime (77779241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248340 + ... + 248652.

Almost surely, 2^77779248 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 77779248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104659968).

77779248 is an abundant number, since it is smaller than the sum of its proper divisors (131540688).

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

77779248 is a wasteful number, since it uses less digits than its factorization.

77779248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 51.

The square root of 77779248 is about 8819.2543902532. The cubic root of 77779248 is about 426.8624112683.

The spelling of 77779248 in words is "seventy-seven million, seven hundred seventy-nine thousand, two hundred forty-eight".