787746960 has 480 divisors, whose sum is σ = 3555272448. Its totient is φ = 150958080.

The previous prime is 787746943. The next prime is 787746979. The reversal of 787746960 is 69647787.

It is a junction number, because it is equal to n+sod(n) for n = 787746897 and 787746906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720174 + ... + 721266.

Almost surely, 2^787746960 is an apocalyptic number.

787746960 is a gapful number since it is divisible by the number (70) 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 787746960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777636224).

787746960 is an abundant number, since it is smaller than the sum of its proper divisors (2767525488).

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

787746960 is a wasteful number, since it uses less digits than its factorization.

787746960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 787746960 is about 28066.8302449707. The cubic root of 787746960 is about 923.5538972125.

It can be divided in two parts, 787 and 746960, that added together give a palindrome (747747).

The spelling of 787746960 in words is "seven hundred eighty-seven million, seven hundred forty-six thousand, nine hundred sixty".