779760000 has 480 divisors, whose sum is σ = 3035122200. Its totient is φ = 196992000.

The previous prime is 779759999. The next prime is 779760001. The reversal of 779760000 is 67977.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (779759999) and next prime (779760001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (779760001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41039991 + ... + 41040009.

Almost surely, 2^779760000 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 779760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517561100).

779760000 is an abundant number, since it is smaller than the sum of its proper divisors (2255362200).

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

779760000 is an equidigital number, since it uses as much as digits as its factorization.

779760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 779760000 is about 27924.1830677282. The cubic root of 779760000 is about 920.4219866273.

The spelling of 779760000 in words is "seven hundred seventy-nine million, seven hundred sixty thousand".