778008918960 has 2160 divisors, whose sum is σ = 3575837131776. Its totient is φ = 150117359616.

The previous prime is 778008918949. The next prime is 778008918961. The reversal of 778008918960 is 69819800877.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (778008918961) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6126054417 + ... + 6126054543.

Almost surely, 2^778008918960 is an apocalyptic number.

778008918960 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 778008918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787918565888).

778008918960 is an abundant number, since it is smaller than the sum of its proper divisors (2797828212816).

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

778008918960 is a wasteful number, since it uses less digits than its factorization.

778008918960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 778008918960 in words is "seven hundred seventy-eight billion, eight million, nine hundred eighteen thousand, nine hundred sixty".