780431232 has 384 divisors, whose sum is σ = 2651184000. Its totient is φ = 202051584.

The previous prime is 780431227. The next prime is 780431237. The reversal of 780431232 is 232134087.

It is an interprime number because it is at equal distance from previous prime (780431227) and next prime (780431237).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 780431232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780431237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13227619 + ... + 13227677.

It is an arithmetic number, because the mean of its divisors is an integer number (6904125).

Almost surely, 2^780431232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325592000).

780431232 is an abundant number, since it is smaller than the sum of its proper divisors (1870752768).

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

780431232 is a wasteful number, since it uses less digits than its factorization.

780431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 780431232 is about 27936.1993120038. The cubic root of 780431232 is about 920.6860163714.

The spelling of 780431232 in words is "seven hundred eighty million, four hundred thirty-one thousand, two hundred thirty-two".