77958906 has 24 divisors (see below), whose sum is σ = 165632640. Its totient is φ = 24457152.

The previous prime is 77958901. The next prime is 77958943. The reversal of 77958906 is 60985977.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (77958901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20746 + ... + 24213.

It is an arithmetic number, because the mean of its divisors is an integer number (6901360).

Almost surely, 2^77958906 is an apocalyptic number.

77958906 is an abundant number, since it is smaller than the sum of its proper divisors (87673734).

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

77958906 is a wasteful number, since it uses less digits than its factorization.

77958906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44998 (or 44981 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 77958906 is about 8829.4340701995. The cubic root of 77958906 is about 427.1908205290.

It can be divided in two parts, 779 and 58906, that added together give a triangular number (59685 = T₃₄₅).

The spelling of 77958906 in words is "seventy-seven million, nine hundred fifty-eight thousand, nine hundred six".