77885346 has 64 divisors (see below), whose sum is σ = 195250176. Its totient is φ = 20121600.

The previous prime is 77885323. The next prime is 77885371. The reversal of 77885346 is 64358877.

77885346 = 231² + 232² + ... + 626².

It is a super-2 number, since 2×77885346² = 12132254243079432, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77885295 and 77885304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121186 + ... + 121826.

It is an arithmetic number, because the mean of its divisors is an integer number (3050784).

Almost surely, 2^77885346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77885346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97625088).

77885346 is an abundant number, since it is smaller than the sum of its proper divisors (117364830).

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

77885346 is a wasteful number, since it uses less digits than its factorization.

77885346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927.

The product of its digits is 1128960, while the sum is 48.

The square root of 77885346 is about 8825.2674747001. The cubic root of 77885346 is about 427.0564161903.

The spelling of 77885346 in words is "seventy-seven million, eight hundred eighty-five thousand, three hundred forty-six".