786972672 has 150 divisors (see below), whose sum is σ = 2355095358. Its totient is φ = 261881856.

The previous prime is 786972671. The next prime is 786972707. The reversal of 786972672 is 276279687.

It can be written as a sum of positive squares in only one way, i.e., 702038016 + 84934656 = 26496^2 + 9216^2 .

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 (786972671) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1326808 + ... + 1327400.

Almost surely, 2^786972672 is an apocalyptic number.

786972672 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 786972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177547679).

786972672 is an abundant number, since it is smaller than the sum of its proper divisors (1568122686).

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

786972672 is an frugal number, since it uses more digits than its factorization.

786972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 598 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 786972672 is about 28053.0332049852. The cubic root of 786972672 is about 923.2512064766.

The spelling of 786972672 in words is "seven hundred eighty-six million, nine hundred seventy-two thousand, six hundred seventy-two".