77494048 has 48 divisors (see below), whose sum is σ = 158699520. Its totient is φ = 37209600.

The previous prime is 77494033. The next prime is 77494049. The reversal of 77494048 is 84049477.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77493995 and 77494013.

It is not an unprimeable number, because it can be changed into a prime (77494049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189268 + ... + 189676.

It is an arithmetic number, because the mean of its divisors is an integer number (3306240).

Almost surely, 2^77494048 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 77494048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79349760).

77494048 is an abundant number, since it is smaller than the sum of its proper divisors (81205472).

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

77494048 is a wasteful number, since it uses less digits than its factorization.

77494048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 77494048 is about 8803.0703734549. The cubic root of 77494048 is about 426.3400343004.

The spelling of 77494048 in words is "seventy-seven million, four hundred ninety-four thousand, forty-eight".