787778692272 has 240 divisors, whose sum is σ = 2650359199488. Its totient is φ = 215232837120.

The previous prime is 787778692271. The next prime is 787778692291. The reversal of 787778692272 is 272296877787.

787778692272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 787778692272.

It is not an unprimeable number, because it can be changed into a prime (787778692271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440613 + ... + 1330299.

Almost surely, 2^787778692272 is an apocalyptic number.

787778692272 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 787778692272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325179599744).

787778692272 is an abundant number, since it is smaller than the sum of its proper divisors (1862580507216).

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

787778692272 is a wasteful number, since it uses less digits than its factorization.

787778692272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889768 (or 889759 counting only the distinct ones).

The product of its digits is 464679936, while the sum is 72.

The spelling of 787778692272 in words is "seven hundred eighty-seven billion, seven hundred seventy-eight million, six hundred ninety-two thousand, two hundred seventy-two".