787969329840 has 960 divisors, whose sum is σ = 3455490834432. Its totient is φ = 156032870400.

The previous prime is 787969329839. The next prime is 787969329881. The reversal of 787969329840 is 48923969787.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 396561327 + ... + 396563313.

Almost surely, 2^787969329840 is an apocalyptic number.

787969329840 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 787969329840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727745417216).

787969329840 is an abundant number, since it is smaller than the sum of its proper divisors (2667521504592).

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

787969329840 is a wasteful number, since it uses less digits than its factorization.

787969329840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 787969329840 in words is "seven hundred eighty-seven billion, nine hundred sixty-nine million, three hundred twenty-nine thousand, eight hundred forty".