780087672 has 160 divisors (see below), whose sum is σ = 2689394400. Its totient is φ = 205721856.

The previous prime is 780087647. The next prime is 780087683. The reversal of 780087672 is 276780087.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52354 + ... + 65582.

It is an arithmetic number, because the mean of its divisors is an integer number (16808715).

Almost surely, 2^780087672 is an apocalyptic number.

780087672 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 780087672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344697200).

780087672 is an abundant number, since it is smaller than the sum of its proper divisors (1909306728).

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

780087672 is a wasteful number, since it uses less digits than its factorization.

780087672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13267 (or 13254 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 780087672 is about 27930.0496240161. The cubic root of 780087672 is about 920.5508956409.

The spelling of 780087672 in words is "seven hundred eighty million, eighty-seven thousand, six hundred seventy-two".