77766150 has 96 divisors (see below), whose sum is σ = 240484608. Its totient is φ = 16156800.

The previous prime is 77766137. The next prime is 77766167. The reversal of 77766150 is 5166777.

It is a junction number, because it is equal to n+sod(n) for n = 77766099 and 77766108.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 8184 + ... + 14916.

It is an arithmetic number, because the mean of its divisors is an integer number (2505048).

Almost surely, 2^77766150 is an apocalyptic number.

77766150 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 77766150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120242304).

77766150 is an abundant number, since it is smaller than the sum of its proper divisors (162718458).

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

77766150 is a wasteful number, since it uses less digits than its factorization.

77766150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 77766150 is about 8818.5117792063. The cubic root of 77766150 is about 426.8384487596.

The spelling of 77766150 in words is "seventy-seven million, seven hundred sixty-six thousand, one hundred fifty".