77048268 has 96 divisors (see below), whose sum is σ = 213319680. Its totient is φ = 21384000.

The previous prime is 77048219. The next prime is 77048269. The reversal of 77048268 is 86284077.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77048269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77253 + ... + 78243.

It is an arithmetic number, because the mean of its divisors is an integer number (2222080).

Almost surely, 2^77048268 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 77048268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106659840).

77048268 is an abundant number, since it is smaller than the sum of its proper divisors (136271412).

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

77048268 is a wasteful number, since it uses less digits than its factorization.

77048268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 77048268 is about 8777.7142810643. The cubic root of 77048268 is about 425.5209629905.

The spelling of 77048268 in words is "seventy-seven million, forty-eight thousand, two hundred sixty-eight".