77642048 has 56 divisors (see below), whose sum is σ = 173918880. Its totient is φ = 34065920.

The previous prime is 77642041. The next prime is 77642051. The reversal of 77642048 is 84024677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77642041) 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, 18515 + ... + 22317.

Almost surely, 2^77642048 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 77642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86959440).

77642048 is an abundant number, since it is smaller than the sum of its proper divisors (96276832).

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

77642048 is a wasteful number, since it uses less digits than its factorization.

77642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 77642048 is about 8811.4725216617. The cubic root of 77642048 is about 426.6112731906.

It can be divided in two parts, 776 and 42048, that added together give a palindrome (42824).

The spelling of 77642048 in words is "seventy-seven million, six hundred forty-two thousand, forty-eight".