788049072 has 60 divisors (see below), whose sum is σ = 2225720640. Its totient is φ = 260267904.

The previous prime is 788049043. The next prime is 788049077. The reversal of 788049072 is 270940887.

It is a super-2 number, since 2×788049072² = 1242042679760122368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (788049077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9408 + ... + 40799.

It is an arithmetic number, because the mean of its divisors is an integer number (37095344).

Almost surely, 2^788049072 is an apocalyptic number.

788049072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

788049072 is an abundant number, since it is smaller than the sum of its proper divisors (1437671568).

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

788049072 is a wasteful number, since it uses less digits than its factorization.

788049072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50330 (or 50321 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 788049072 is about 28072.2117404383. The cubic root of 788049072 is about 923.6719474104.

The spelling of 788049072 in words is "seven hundred eighty-eight million, forty-nine thousand, seventy-two".