77073434400 has 144 divisors (see below), whose sum is σ = 250962624864. Its totient is φ = 20545658880.

The previous prime is 77073434387. The next prime is 77073434419. The reversal of 77073434400 is 443437077.

It is a super-2 number, since 2×77073434400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13156272 + ... + 13162128.

It is an arithmetic number, because the mean of its divisors is an integer number (1742796006).

Almost surely, 2^77073434400 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 77073434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125481312432).

77073434400 is an abundant number, since it is smaller than the sum of its proper divisors (173889190464).

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

77073434400 is a wasteful number, since it uses less digits than its factorization.

77073434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11363 (or 11350 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 39.

The spelling of 77073434400 in words is "seventy-seven billion, seventy-three million, four hundred thirty-four thousand, four hundred".