77974848 has 168 divisors, whose sum is σ = 259616448. Its totient is φ = 21915648.

The previous prime is 77974789. The next prime is 77974891. The reversal of 77974848 is 84847977.

77974848 is a `hidden beast` number, since 77 + 97 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 77974794 and 77974803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334540 + ... + 334772.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^77974848 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 77974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129808224).

77974848 is an abundant number, since it is smaller than the sum of its proper divisors (181641600).

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

77974848 is a wasteful number, since it uses less digits than its factorization.

77974848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 77974848 is about 8830.3367999188. The cubic root of 77974848 is about 427.2199376294.

The spelling of 77974848 in words is "seventy-seven million, nine hundred seventy-four thousand, eight hundred forty-eight".