768113220 has 144 divisors (see below), whose sum is σ = 2543462208. Its totient is φ = 172650240.

The previous prime is 768113189. The next prime is 768113249. The reversal of 768113220 is 22311867.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177199 + ... + 181481.

It is an arithmetic number, because the mean of its divisors is an integer number (17662932).

Almost surely, 2^768113220 is an apocalyptic number.

768113220 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 768113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271731104).

768113220 is an abundant number, since it is smaller than the sum of its proper divisors (1775348988).

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

768113220 is a wasteful number, since it uses less digits than its factorization.

768113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 768113220 is about 27714.8555832427. The cubic root of 768113220 is about 915.8163934101.

The spelling of 768113220 in words is "seven hundred sixty-eight million, one hundred thirteen thousand, two hundred twenty".