784213632 has 96 divisors (see below), whose sum is σ = 2269727460. Its totient is φ = 259891200.

The previous prime is 784213609. The next prime is 784213637. The reversal of 784213632 is 236312487.

It is a happy number.

784213632 is a `hidden beast` number, since 7 + 8 + 4 + 2 + 13 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 683090496 + 101123136 = 26136^2 + 10056^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×784213632² = 1229982041229262848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (784213637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206632 + ... + 210392.

Almost surely, 2^784213632 is an apocalyptic number.

784213632 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 784213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134863730).

784213632 is an abundant number, since it is smaller than the sum of its proper divisors (1485513828).

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

784213632 is a wasteful number, since it uses less digits than its factorization.

784213632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3947 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 784213632 is about 28003.8145973008. The cubic root of 784213632 is about 922.1710039285.

The spelling of 784213632 in words is "seven hundred eighty-four million, two hundred thirteen thousand, six hundred thirty-two".