764879220 has 288 divisors, whose sum is σ = 2801554560. Its totient is φ = 172730880.

The previous prime is 764879209. The next prime is 764879221. The reversal of 764879220 is 22978467.

764879220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764879221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3624915 + ... + 3625125.

It is an arithmetic number, because the mean of its divisors is an integer number (9727620).

Almost surely, 2^764879220 is an apocalyptic number.

764879220 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 764879220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400777280).

764879220 is an abundant number, since it is smaller than the sum of its proper divisors (2036675340).

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

764879220 is a wasteful number, since it uses less digits than its factorization.

764879220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 764879220 is about 27656.4498806336. The cubic root of 764879220 is about 914.5292929651.

It can be divided in two parts, 7648 and 79220, that added together give a palindrome (86868).

The spelling of 764879220 in words is "seven hundred sixty-four million, eight hundred seventy-nine thousand, two hundred twenty".