77259042 has 64 divisors (see below), whose sum is σ = 197141760. Its totient is φ = 21969792.

The previous prime is 77259011. The next prime is 77259097. The reversal of 77259042 is 24095277.

It is a junction number, because it is equal to n+sod(n) for n = 77258988 and 77259006.

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, 117988 + ... + 118640.

It is an arithmetic number, because the mean of its divisors is an integer number (3080340).

Almost surely, 2^77259042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77259042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98570880).

77259042 is an abundant number, since it is smaller than the sum of its proper divisors (119882718).

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

77259042 is a wasteful number, since it uses less digits than its factorization.

77259042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 77259042 is about 8789.7122819806. The cubic root of 77259042 is about 425.9086294814.

The spelling of 77259042 in words is "seventy-seven million, two hundred fifty-nine thousand, forty-two".