77114268 has 180 divisors, whose sum is σ = 254140656. Its totient is φ = 19958400.

The previous prime is 77114249. The next prime is 77114287. The reversal of 77114268 is 86241177.

It is an interprime number because it is at equal distance from previous prime (77114249) and next prime (77114287).

It is a super-2 number, since 2×77114268² = 11893220658351648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 274288 + ... + 274568.

Almost surely, 2^77114268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77114268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127070328).

77114268 is an abundant number, since it is smaller than the sum of its proper divisors (177026388).

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

77114268 is a wasteful number, since it uses less digits than its factorization.

77114268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 77114268 is about 8781.4729971685. The cubic root of 77114268 is about 425.6424295682.

The spelling of 77114268 in words is "seventy-seven million, one hundred fourteen thousand, two hundred sixty-eight".