77997936 has 80 divisors (see below), whose sum is σ = 210477600. Its totient is φ = 24858624.

The previous prime is 77997929. The next prime is 77997943. The reversal of 77997936 is 63979977.

It is an interprime number because it is at equal distance from previous prime (77997929) and next prime (77997943).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190500 + ... + 190908.

It is an arithmetic number, because the mean of its divisors is an integer number (2630970).

Almost surely, 2^77997936 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 77997936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105238800).

77997936 is an abundant number, since it is smaller than the sum of its proper divisors (132479664).

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

77997936 is a wasteful number, since it uses less digits than its factorization.

77997936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its digits is 4500846, while the sum is 57.

The square root of 77997936 is about 8831.6440145649. The cubic root of 77997936 is about 427.2620994325.

The spelling of 77997936 in words is "seventy-seven million, nine hundred ninety-seven thousand, nine hundred thirty-six".