77922790400 has 792 divisors, whose sum is σ = 249718017024. Its totient is φ = 23578214400.

The previous prime is 77922790381. The next prime is 77922790409. The reversal of 77922790400 is 409722977.

It is a super-2 number, since 2×77922790400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77922790409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 938828759 + ... + 938828841.

Almost surely, 2^77922790400 is an apocalyptic number.

77922790400 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 77922790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124859008512).

77922790400 is an abundant number, since it is smaller than the sum of its proper divisors (171795226624).

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

77922790400 is a wasteful number, since it uses less digits than its factorization.

77922790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 47.

The spelling of 77922790400 in words is "seventy-seven billion, nine hundred twenty-two million, seven hundred ninety thousand, four hundred".