77633920 has 256 divisors, whose sum is σ = 241274880. Its totient is φ = 23224320.

The previous prime is 77633909. The next prime is 77633929. The reversal of 77633920 is 2933677.

It is a self number, because there is not a number n which added to its sum of digits gives 77633920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77633929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805419 + ... + 1805461.

It is an arithmetic number, because the mean of its divisors is an integer number (942480).

Almost surely, 2^77633920 is an apocalyptic number.

77633920 is a gapful number since it is divisible by the number (70) 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 77633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

77633920 is an abundant number, since it is smaller than the sum of its proper divisors (163640960).

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

77633920 is a wasteful number, since it uses less digits than its factorization.

77633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 77633920 is about 8811.0112926951. The cubic root of 77633920 is about 426.5963859934.

The spelling of 77633920 in words is "seventy-seven million, six hundred thirty-three thousand, nine hundred twenty".