787248 has 120 divisors (see below), whose sum is σ = 2785536. Its totient is φ = 201600.

The previous prime is 787243. The next prime is 787261. The reversal of 787248 is 842787.

787248 = T₁₁₂ + T₁₁₃ + ... + T₁₈₂.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (787243) by changing a digit.

787248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11053 + ... + 11123.

2⁷⁸⁷²⁴⁸ 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 787248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392768).

787248 is an abundant number, since it is smaller than the sum of its proper divisors (1998288).

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

787248 is a wasteful number, since it uses less digits than its factorization.

787248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 787248 is about 887.2699701895. The cubic root of 787248 is about 92.3358862595.

It can be divided in two parts, 787 and 248, that added together give a triangular number (1035 = T₄₅).

The spelling of 787248 in words is "seven hundred eighty-seven thousand, two hundred forty-eight".