768111552 has 224 divisors, whose sum is σ = 2512527360. Its totient is φ = 228510720.

The previous prime is 768111551. The next prime is 768111559. The reversal of 768111552 is 255111867.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768111551) 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, 695833 + ... + 696935.

It is an arithmetic number, because the mean of its divisors is an integer number (11216640).

Almost surely, 2^768111552 is an apocalyptic number.

768111552 is a gapful number since it is divisible by the number (72) 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 768111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256263680).

768111552 is an abundant number, since it is smaller than the sum of its proper divisors (1744415808).

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

768111552 is a wasteful number, since it uses less digits than its factorization.

768111552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1152 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 768111552 is about 27714.8254910616. The cubic root of 768111552 is about 915.8157304944.

The spelling of 768111552 in words is "seven hundred sixty-eight million, one hundred eleven thousand, five hundred fifty-two".