778336013952 has 768 divisors, whose sum is σ = 2728905552000. Its totient is φ = 220441761792.

The previous prime is 778336013947. The next prime is 778336013969. The reversal of 778336013952 is 259310633877.

778336013952 is a `hidden beast` number, since 77 + 83 + 360 + 139 + 5 + 2 = 666.

It is a super-2 number, since 2×778336013952² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2455318498 + ... + 2455318814.

Almost surely, 2^778336013952 is an apocalyptic number.

778336013952 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 778336013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364452776000).

778336013952 is an abundant number, since it is smaller than the sum of its proper divisors (1950569538048).

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

778336013952 is an equidigital number, since it uses as much as digits as its factorization.

778336013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 778336013952 in words is "seven hundred seventy-eight billion, three hundred thirty-six million, thirteen thousand, nine hundred fifty-two".