778263552 has 220 divisors, whose sum is σ = 2538296376. Its totient is φ = 235560960.

The previous prime is 778263529. The next prime is 778263569. The reversal of 778263552 is 255362877.

778263552 is a `hidden beast` number, since 7 + 7 + 8 + 2 + 635 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 778263498 and 778263507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 911958 + ... + 912810.

Almost surely, 2^778263552 is an apocalyptic number.

778263552 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 778263552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269148188).

778263552 is an abundant number, since it is smaller than the sum of its proper divisors (1760032824).

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

778263552 is a wasteful number, since it uses less digits than its factorization.

778263552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 869 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 778263552 is about 27897.3753604170. The cubic root of 778263552 is about 919.8328114592.

The spelling of 778263552 in words is "seven hundred seventy-eight million, two hundred sixty-three thousand, five hundred fifty-two".