77988768 has 288 divisors, whose sum is σ = 265628160. Its totient is φ = 19768320.

The previous prime is 77988761. The next prime is 77988793. The reversal of 77988768 is 86788977.

It is not an unprimeable number, because it can be changed into a prime (77988761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3390805 + ... + 3390827.

It is an arithmetic number, because the mean of its divisors is an integer number (922320).

Almost surely, 2^77988768 is an apocalyptic number.

77988768 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 77988768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132814080).

77988768 is an abundant number, since it is smaller than the sum of its proper divisors (187639392).

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

77988768 is a wasteful number, since it uses less digits than its factorization.

77988768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 60.

The square root of 77988768 is about 8831.1249566519. The cubic root of 77988768 is about 427.2453584236.

The spelling of 77988768 in words is "seventy-seven million, nine hundred eighty-eight thousand, seven hundred sixty-eight".