77305248 has 72 divisors (see below), whose sum is σ = 222908868. Its totient is φ = 25408512.

The previous prime is 77305237. The next prime is 77305301. The reversal of 77305248 is 84250377.

It can be written as a sum of positive squares in 2 ways, for example, as 74442384 + 2862864 = 8628^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×77305248² = 11952202736683008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19186 + ... + 22862.

Almost surely, 2^77305248 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 77305248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111454434).

77305248 is an abundant number, since it is smaller than the sum of its proper divisors (145603620).

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

77305248 is a wasteful number, since it uses less digits than its factorization.

77305248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 77305248 is about 8792.3403027863. The cubic root of 77305248 is about 425.9935197057.

The spelling of 77305248 in words is "seventy-seven million, three hundred five thousand, two hundred forty-eight".