788667552 has 72 divisors (see below), whose sum is σ = 2248695540. Its totient is φ = 262195200.

The previous prime is 788667541. The next prime is 788667563. The reversal of 788667552 is 255766887.

788667552 is a `hidden beast` number, since 7 + 8 + 86 + 6 + 7 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (788667541) and next prime (788667563).

It can be written as a sum of positive squares in 2 ways, for example, as 688747536 + 99920016 = 26244^2 + 9996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112074 + ... + 118902.

Almost surely, 2^788667552 is an apocalyptic number.

788667552 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 788667552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124347770).

788667552 is an abundant number, since it is smaller than the sum of its proper divisors (1460027988).

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

788667552 is a wasteful number, since it uses less digits than its factorization.

788667552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246 (or 7235 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 788667552 is about 28083.2254557770. The cubic root of 788667552 is about 923.9135242622.

The spelling of 788667552 in words is "seven hundred eighty-eight million, six hundred sixty-seven thousand, five hundred fifty-two".