779874480 has 480 divisors, whose sum is σ = 3392782848. Its totient is φ = 161740800.

The previous prime is 779874463. The next prime is 779874481. The reversal of 779874480 is 84478977.

779874480 is a `hidden beast` number, since 7 + 7 + 98 + 74 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (779874481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1496620 + ... + 1497140.

Almost surely, 2^779874480 is an apocalyptic number.

779874480 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 779874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696391424).

779874480 is an abundant number, since it is smaller than the sum of its proper divisors (2612908368).

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

779874480 is a wasteful number, since it uses less digits than its factorization.

779874480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 779874480 is about 27926.2328286506. The cubic root of 779874480 is about 920.4670281584.

The spelling of 779874480 in words is "seven hundred seventy-nine million, eight hundred seventy-four thousand, four hundred eighty".