782228820 has 48 divisors (see below), whose sum is σ = 2319081408. Its totient is φ = 196323840.

The previous prime is 782228809. The next prime is 782228831. The reversal of 782228820 is 28822287.

782228820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (782228809) and next prime (782228831).

It is a super-2 number, since 2×782228820² = 1223763853677184800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382426 + ... + 384465.

It is an arithmetic number, because the mean of its divisors is an integer number (48314196).

Almost surely, 2^782228820 is an apocalyptic number.

It is an amenable number.

782228820 is an abundant number, since it is smaller than the sum of its proper divisors (1536852588).

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

782228820 is a wasteful number, since it uses less digits than its factorization.

782228820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766920 (or 766918 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 782228820 is about 27968.3539022231. The cubic root of 782228820 is about 921.3923545304.

The spelling of 782228820 in words is "seven hundred eighty-two million, two hundred twenty-eight thousand, eight hundred twenty".