780276672 has 224 divisors, whose sum is σ = 2642250240. Its totient is φ = 221184000.

The previous prime is 780276661. The next prime is 780276677. The reversal of 780276672 is 276672087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780276677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3035968 + ... + 3036224.

It is an arithmetic number, because the mean of its divisors is an integer number (11795760).

Almost surely, 2^780276672 is an apocalyptic number.

780276672 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 780276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321125120).

780276672 is an abundant number, since it is smaller than the sum of its proper divisors (1861973568).

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

780276672 is a wasteful number, since it uses less digits than its factorization.

780276672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 780276672 is about 27933.4328717399. The cubic root of 780276672 is about 920.6252334692.

The spelling of 780276672 in words is "seven hundred eighty million, two hundred seventy-six thousand, six hundred seventy-two".