786324672 has 336 divisors, whose sum is σ = 2769242112. Its totient is φ = 216483840.

The previous prime is 786324619. The next prime is 786324673. The reversal of 786324672 is 276423687.

786324672 is a `hidden beast` number, since 7 + 8 + 632 + 4 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×786324672³ (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (786324673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3374668 + ... + 3374900.

It is an arithmetic number, because the mean of its divisors is an integer number (8241792).

Almost surely, 2^786324672 is an apocalyptic number.

786324672 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 786324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384621056).

786324672 is an abundant number, since it is smaller than the sum of its proper divisors (1982917440).

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

786324672 is a wasteful number, since it uses less digits than its factorization.

786324672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 786324672 is about 28041.4812732851. The cubic root of 786324672 is about 922.9977325911.

The spelling of 786324672 in words is "seven hundred eighty-six million, three hundred twenty-four thousand, six hundred seventy-two".