768911088 has 120 divisors (see below), whose sum is σ = 2302352640. Its totient is φ = 219253760.

The previous prime is 768911083. The next prime is 768911093. The reversal of 768911088 is 880119867.

It is an interprime number because it is at equal distance from previous prime (768911083) and next prime (768911093).

It is a super-2 number, since 2×768911088² = 1182448522498687488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768911083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150073 + ... + 155111.

It is an arithmetic number, because the mean of its divisors is an integer number (19186272).

Almost surely, 2^768911088 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 768911088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151176320).

768911088 is an abundant number, since it is smaller than the sum of its proper divisors (1533441552).

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

768911088 is a wasteful number, since it uses less digits than its factorization.

768911088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The square root of 768911088 is about 27729.2460770213. The cubic root of 768911088 is about 916.1333812877.

The spelling of 768911088 in words is "seven hundred sixty-eight million, nine hundred eleven thousand, eighty-eight".