77842048 has 64 divisors (see below), whose sum is σ = 166561920. Its totient is φ = 36106240.

The previous prime is 77842021. The next prime is 77842073. The reversal of 77842048 is 84024877.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 77842048.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180393 + ... + 180823.

It is an arithmetic number, because the mean of its divisors is an integer number (2602530).

Almost surely, 2^77842048 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 77842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83280960).

77842048 is an abundant number, since it is smaller than the sum of its proper divisors (88719872).

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

77842048 is a wasteful number, since it uses less digits than its factorization.

77842048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 77842048 is about 8822.8140635514. The cubic root of 77842048 is about 426.9772651597.

The spelling of 77842048 in words is "seventy-seven million, eight hundred forty-two thousand, forty-eight".