787472 has 40 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 329472.

The previous prime is 787469. The next prime is 787477. The reversal of 787472 is 274787.

It is a super-2 number, since 2×787472² = 1240224301568, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (787477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8804 + ... + 8892.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

2⁷⁸⁷⁴⁷² 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 787472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

787472 is an abundant number, since it is smaller than the sum of its proper divisors (998128).

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

787472 is a wasteful number, since it uses less digits than its factorization.

787472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its digits is 21952, while the sum is 35.

The square root of 787472 is about 887.3961911120. The cubic root of 787472 is about 92.3446430414.

The spelling of 787472 in words is "seven hundred eighty-seven thousand, four hundred seventy-two".