77395968 has 288 divisors, whose sum is σ = 268304400. Its totient is φ = 21233664.

The previous prime is 77395957. The next prime is 77395991. The reversal of 77395968 is 86959377.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (2857680) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4073463 + ... + 4073481.

Almost surely, 2^77395968 is an apocalyptic number.

77395968 is a gapful number since it is divisible by the number (78) 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 77395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134152200).

77395968 is an abundant number, since it is smaller than the sum of its proper divisors (190908432).

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

77395968 is a wasteful number, since it uses less digits than its factorization.

77395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 77395968 is about 8797.4978260867. The cubic root of 77395968 is about 426.1600932372.

The spelling of 77395968 in words is "seventy-seven million, three hundred ninety-five thousand, nine hundred sixty-eight".