77658048 has 112 divisors (see below), whose sum is σ = 245932960. Its totient is φ = 23887872.

The previous prime is 77658047. The next prime is 77658067. The reversal of 77658048 is 84085677.

It is a junction number, because it is equal to n+sod(n) for n = 77657994 and 77658012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77658047) 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, 20736 + ... + 24192.

It is an arithmetic number, because the mean of its divisors is an integer number (2195830).

Almost surely, 2^77658048 is an apocalyptic number.

77658048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77658048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122966480).

77658048 is an abundant number, since it is smaller than the sum of its proper divisors (168274912).

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

77658048 is a wasteful number, since it uses less digits than its factorization.

77658048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 77658048 is about 8812.3803821669. The cubic root of 77658048 is about 426.6405756615.

The spelling of 77658048 in words is "seventy-seven million, six hundred fifty-eight thousand, forty-eight".