787688352 has 72 divisors (see below), whose sum is σ = 2443633920. Its totient is φ = 238692480.

The previous prime is 787688347. The next prime is 787688357. The reversal of 787688352 is 253886787.

It is an interprime number because it is at equal distance from previous prime (787688347) and next prime (787688357).

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

It is not an unprimeable number, because it can be changed into a prime (787688357) 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, 121152 + ... + 127487.

It is an arithmetic number, because the mean of its divisors is an integer number (33939360).

Almost surely, 2^787688352 is an apocalyptic number.

787688352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

787688352 is an abundant number, since it is smaller than the sum of its proper divisors (1655945568).

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

787688352 is a wasteful number, since it uses less digits than its factorization.

787688352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248666 (or 248655 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 787688352 is about 28065.7861461246. The cubic root of 787688352 is about 923.5309926539.

The spelling of 787688352 in words is "seven hundred eighty-seven million, six hundred eighty-eight thousand, three hundred fifty-two".