77585046 has 64 divisors (see below), whose sum is σ = 196701696. Its totient is φ = 19814400.

The previous prime is 77585021. The next prime is 77585047. The reversal of 77585046 is 64058577.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 77584989 and 77585007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77585047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26806 + ... + 29558.

It is an arithmetic number, because the mean of its divisors is an integer number (3073464).

Almost surely, 2^77585046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77585046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98350848).

77585046 is an abundant number, since it is smaller than the sum of its proper divisors (119116650).

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

77585046 is a wasteful number, since it uses less digits than its factorization.

77585046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837.

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 77585046 is about 8808.2373946210. The cubic root of 77585046 is about 426.5068467451.

The spelling of 77585046 in words is "seventy-seven million, five hundred eighty-five thousand, forty-six".