772168420800 has 2016 divisors, whose sum is σ = 3507243379200. Its totient is φ = 164288839680.

The previous prime is 772168420757. The next prime is 772168420853. The reversal of 772168420800 is 8024861277.

772168420800 is a `hidden beast` number, since 7 + 7 + 216 + 8 + 420 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2936001469 + ... + 2936001731.

Almost surely, 2^772168420800 is an apocalyptic number.

772168420800 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 772168420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753621689600).

772168420800 is an abundant number, since it is smaller than the sum of its proper divisors (2735074958400).

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

772168420800 is a wasteful number, since it uses less digits than its factorization.

772168420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 772168420800 in words is "seven hundred seventy-two billion, one hundred sixty-eight million, four hundred twenty thousand, eight hundred".