77361948 has 36 divisors (see below), whose sum is σ = 196199640. Its totient is φ = 25702176.

The previous prime is 77361943. The next prime is 77361959. The reversal of 77361948 is 84916377.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77361943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8023 + ... + 14801.

It is an arithmetic number, because the mean of its divisors is an integer number (5449990).

Almost surely, 2^77361948 is an apocalyptic number.

It is an amenable number.

77361948 is an abundant number, since it is smaller than the sum of its proper divisors (118837692).

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

77361948 is a wasteful number, since it uses less digits than its factorization.

77361948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106 (or 7101 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 77361948 is about 8795.5641092542. The cubic root of 77361948 is about 426.0976434245.

The spelling of 77361948 in words is "seventy-seven million, three hundred sixty-one thousand, nine hundred forty-eight".