768101820 has 96 divisors (see below), whose sum is σ = 2282515200. Its totient is φ = 192328704.

The previous prime is 768101791. The next prime is 768101843. The reversal of 768101820 is 28101867.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753271 + ... + 754289.

It is an arithmetic number, because the mean of its divisors is an integer number (23776200).

Almost surely, 2^768101820 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 768101820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141257600).

768101820 is an abundant number, since it is smaller than the sum of its proper divisors (1514413380).

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

768101820 is a wasteful number, since it uses less digits than its factorization.

768101820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 768101820 is about 27714.6499166055. The cubic root of 768101820 is about 915.8118626724.

The spelling of 768101820 in words is "seven hundred sixty-eight million, one hundred one thousand, eight hundred twenty".