787730832 has 200 divisors, whose sum is σ = 2690637312. Its totient is φ = 217728000.

The previous prime is 787730831. The next prime is 787730833. The reversal of 787730832 is 238037787.

It is an interprime number because it is at equal distance from previous prime (787730831) and next prime (787730833).

It is a super-5 number, since 5×787730832⁵ (a number of 46 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (787730831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279832 + ... + 282632.

Almost surely, 2^787730832 is an apocalyptic number.

787730832 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 787730832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345318656).

787730832 is an abundant number, since it is smaller than the sum of its proper divisors (1902906480).

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

787730832 is a wasteful number, since it uses less digits than its factorization.

787730832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 787730832 is about 28066.5429292601. The cubic root of 787730832 is about 923.5475943514.

The spelling of 787730832 in words is "seven hundred eighty-seven million, seven hundred thirty thousand, eight hundred thirty-two".