788742464 has 56 divisors (see below), whose sum is σ = 1656953760. Its totient is φ = 371879424.

The previous prime is 788742463. The next prime is 788742467. The reversal of 788742464 is 464247887.

It is a super-2 number, since 2×788742464² = 1244229349033582592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788742463) 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, 74867 + ... + 84749.

It is an arithmetic number, because the mean of its divisors is an integer number (29588460).

Almost surely, 2^788742464 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 788742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828476880).

788742464 is an abundant number, since it is smaller than the sum of its proper divisors (868211296).

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

788742464 is a wasteful number, since it uses less digits than its factorization.

788742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9967 (or 9957 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 50.

The square root of 788742464 is about 28084.5591740373. The cubic root of 788742464 is about 923.9427761392.

The spelling of 788742464 in words is "seven hundred eighty-eight million, seven hundred forty-two thousand, four hundred sixty-four".