77963904 has 128 divisors (see below), whose sum is σ = 243820800. Its totient is φ = 24440832.

The previous prime is 77963891. The next prime is 77963909. The reversal of 77963904 is 40936977.

77963904 is a `hidden beast` number, since 7 + 7 + 9 + 639 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 77963904.

It is not an unprimeable number, because it can be changed into a prime (77963909) 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, 58089 + ... + 59415.

It is an arithmetic number, because the mean of its divisors is an integer number (1904850).

Almost surely, 2^77963904 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 77963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121910400).

77963904 is an abundant number, since it is smaller than the sum of its proper divisors (165856896).

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

77963904 is a wasteful number, since it uses less digits than its factorization.

77963904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 77963904 is about 8829.7170962608. The cubic root of 77963904 is about 427.1999495013.

The spelling of 77963904 in words is "seventy-seven million, nine hundred sixty-three thousand, nine hundred four".