77633248 has 96 divisors (see below), whose sum is σ = 194745600. Its totient is φ = 30199680.

The previous prime is 77633243. The next prime is 77633249. The reversal of 77633248 is 84233677.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77633248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77633243) 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, 120415 + ... + 121057.

It is an arithmetic number, because the mean of its divisors is an integer number (2028600).

Almost surely, 2^77633248 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 77633248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97372800).

77633248 is an abundant number, since it is smaller than the sum of its proper divisors (117112352).

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

77633248 is a wasteful number, since it uses less digits than its factorization.

77633248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 663 counting only the distinct ones).

The product of its digits is 169344, while the sum is 40.

The square root of 77633248 is about 8810.9731585109. The cubic root of 77633248 is about 426.5951551157.

It can be divided in two parts, 7763 and 3248, that added together give a palindrome (11011).

The spelling of 77633248 in words is "seventy-seven million, six hundred thirty-three thousand, two hundred forty-eight".