77958468 has 36 divisors (see below), whose sum is σ = 225214080. Its totient is φ = 22273776.

The previous prime is 77958457. The next prime is 77958479. The reversal of 77958468 is 86485977.

It is an interprime number because it is at equal distance from previous prime (77958457) and next prime (77958479).

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

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 11 ways as a sum of consecutive naturals, for example, 154428 + ... + 154931.

Almost surely, 2^77958468 is an apocalyptic number.

It is an amenable number.

77958468 is an abundant number, since it is smaller than the sum of its proper divisors (147255612).

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

77958468 is a wasteful number, since it uses less digits than its factorization.

77958468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309376 (or 309371 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 77958468 is about 8829.4092667630. The cubic root of 77958468 is about 427.1900204924.

The spelling of 77958468 in words is "seventy-seven million, nine hundred fifty-eight thousand, four hundred sixty-eight".