779299920 has 480 divisors, whose sum is σ = 3223008000. Its totient is φ = 172440576.

The previous prime is 779299901. The next prime is 779299921. The reversal of 779299920 is 29992977.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (779299921) 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, 3915981 + ... + 3916179.

It is an arithmetic number, because the mean of its divisors is an integer number (6714600).

Almost surely, 2^779299920 is an apocalyptic number.

779299920 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 779299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611504000).

779299920 is an abundant number, since it is smaller than the sum of its proper divisors (2443708080).

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

779299920 is a wasteful number, since it uses less digits than its factorization.

779299920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 779299920 is about 27915.9438314380. The cubic root of 779299920 is about 920.2409261896.

The spelling of 779299920 in words is "seven hundred seventy-nine million, two hundred ninety-nine thousand, nine hundred twenty".