77922791510400 has 768 divisors, whose sum is σ = 287193582720000. Its totient is φ = 20632734720000.

The previous prime is 77922791510393. The next prime is 77922791510441. The reversal of 77922791510400 is 401519722977.

77922791510400 is a `hidden beast` number, since 7 + 7 + 9 + 227 + 9 + 1 + 5 + 1 + 0 + 400 = 666.

It is a super-2 number, since 2×77922791510400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 11614662246 + ... + 11614668954.

It is an arithmetic number, because the mean of its divisors is an integer number (373949977500).

Almost surely, 2^{77922791510400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77922791510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143596791360000).

77922791510400 is an abundant number, since it is smaller than the sum of its proper divisors (209270791209600).

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

77922791510400 is a wasteful number, since it uses less digits than its factorization.

77922791510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 77922791510400 in words is "seventy-seven trillion, nine hundred twenty-two billion, seven hundred ninety-one million, five hundred ten thousand, four hundred".