782487552 has 208 divisors, whose sum is σ = 2604344832. Its totient is φ = 202997760.

The previous prime is 782487547. The next prime is 782487553. The reversal of 782487552 is 255784287.

It is a super-2 number, since 2×782487552² = 1224573538069905408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782487553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945763 + ... + 946589.

Almost surely, 2^782487552 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 782487552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302172416).

782487552 is an abundant number, since it is smaller than the sum of its proper divisors (1821857280).

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

782487552 is a wasteful number, since it uses less digits than its factorization.

782487552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 850 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 782487552 is about 27972.9789618482. The cubic root of 782487552 is about 921.4939306939.

The spelling of 782487552 in words is "seven hundred eighty-two million, four hundred eighty-seven thousand, five hundred fifty-two".