77220864000 has 1680 divisors, whose sum is σ = 352539879120. Its totient is φ = 16721510400.

The previous prime is 77220863969. The next prime is 77220864037. The reversal of 77220864000 is 46802277.

77220864000 is a `hidden beast` number, since 7 + 7 + 2 + 2 + 0 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4064255991 + ... + 4064256009.

Almost surely, 2^77220864000 is an apocalyptic number.

77220864000 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 77220864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176269939560).

77220864000 is an abundant number, since it is smaller than the sum of its proper divisors (275319015120).

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

77220864000 is an equidigital number, since it uses as much as digits as its factorization.

77220864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 77220864000 in words is "seventy-seven billion, two hundred twenty million, eight hundred sixty-four thousand".