77668276 has 48 divisors (see below), whose sum is σ = 166028800. Its totient is φ = 31049568.

The previous prime is 77668273. The next prime is 77668289. The reversal of 77668276 is 67286677.

It is a super-2 number, since 2×77668276² = 12064722193624352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77668271) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34555 + ... + 36733.

Almost surely, 2^77668276 is an apocalyptic number.

77668276 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77668276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83014400).

77668276 is an abundant number, since it is smaller than the sum of its proper divisors (88360524).

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

77668276 is a wasteful number, since it uses less digits than its factorization.

77668276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2274 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 49.

The square root of 77668276 is about 8812.9606829941. The cubic root of 77668276 is about 426.6593051573.

The spelling of 77668276 in words is "seventy-seven million, six hundred sixty-eight thousand, two hundred seventy-six".