780006672 has 80 divisors (see below), whose sum is σ = 2266650560. Its totient is φ = 259990560.

The previous prime is 780006653. The next prime is 780006683. The reversal of 780006672 is 276600087.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23847 + ... + 46137.

It is an arithmetic number, because the mean of its divisors is an integer number (28333132).

Almost surely, 2^780006672 is an apocalyptic number.

780006672 is a gapful number since it is divisible by the number (72) 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 780006672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133325280).

780006672 is an abundant number, since it is smaller than the sum of its proper divisors (1486643888).

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

780006672 is an equidigital number, since it uses as much as digits as its factorization.

780006672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22320 (or 22296 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 780006672 is about 27928.5995352434. The cubic root of 780006672 is about 920.5190328960.

The spelling of 780006672 in words is "seven hundred eighty million, six thousand, six hundred seventy-two".