780552 has 48 divisors (see below), whose sum is σ = 2178540. Its totient is φ = 252288.

The previous prime is 780523. The next prime is 780553. The reversal of 780552 is 255087.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 599076 + 181476 = 774^2 + 426^2 .

It is a super-2 number, since 2×780552² = 1218522849408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (780553) 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, 2518 + ... + 2810.

2⁷⁸⁰⁵⁵² is an apocalyptic number.

780552 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 780552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089270).

780552 is an abundant number, since it is smaller than the sum of its proper divisors (1397988).

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

780552 is a wasteful number, since it uses less digits than its factorization.

780552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 780552 is about 883.4885398238. The cubic root of 780552 is about 92.0733504508.

The spelling of 780552 in words is "seven hundred eighty thousand, five hundred fifty-two".