77073248 has 48 divisors (see below), whose sum is σ = 174099744. Its totient is φ = 32901120.

The previous prime is 77073247. The next prime is 77073251. The reversal of 77073248 is 84237077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77073247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74978 + ... + 75998.

It is an arithmetic number, because the mean of its divisors is an integer number (3627078).

Almost surely, 2^77073248 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 77073248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87049872).

77073248 is an abundant number, since it is smaller than the sum of its proper divisors (97026496).

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

77073248 is a wasteful number, since it uses less digits than its factorization.

77073248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The square root of 77073248 is about 8779.1370874363. The cubic root of 77073248 is about 425.5669444054.

The spelling of 77073248 in words is "seventy-seven million, seventy-three thousand, two hundred forty-eight".