77129874 has 64 divisors (see below), whose sum is σ = 178675200. Its totient is φ = 24642576.

The previous prime is 77129869. The next prime is 77129903. The reversal of 77129874 is 47892177.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 136717 + ... + 137279.

It is an arithmetic number, because the mean of its divisors is an integer number (2791800).

Almost surely, 2^77129874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77129874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89337600).

77129874 is an abundant number, since it is smaller than the sum of its proper divisors (101545326).

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

77129874 is a wasteful number, since it uses less digits than its factorization.

77129874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 77129874 is about 8782.3615275164. The cubic root of 77129874 is about 425.6711407604.

The spelling of 77129874 in words is "seventy-seven million, one hundred twenty-nine thousand, eight hundred seventy-four".