77106330 has 112 divisors (see below), whose sum is σ = 237976704. Its totient is φ = 17612640.

The previous prime is 77106319. The next prime is 77106343. The reversal of 77106330 is 3360177.

It is a super-2 number, since 2×77106330² = 11890772252137800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 77106294 and 77106303.

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 55 ways as a sum of consecutive naturals, for example, 50275 + ... + 51785.

It is an arithmetic number, because the mean of its divisors is an integer number (2124792).

Almost surely, 2^77106330 is an apocalyptic number.

77106330 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77106330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118988352).

77106330 is an abundant number, since it is smaller than the sum of its proper divisors (160870374).

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

77106330 is a wasteful number, since it uses less digits than its factorization.

77106330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 77106330 is about 8781.0210112492. The cubic root of 77106330 is about 425.6278241191.

The spelling of 77106330 in words is "seventy-seven million, one hundred six thousand, three hundred thirty".