77829542400 has 240 divisors, whose sum is σ = 265402798848. Its totient is φ = 20084736000.

The previous prime is 77829542353. The next prime is 77829542411. The reversal of 77829542400 is 424592877.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 77829542400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157710 + ... + 1223090.

Almost surely, 2^77829542400 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 77829542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132701399424).

77829542400 is an abundant number, since it is smaller than the sum of its proper divisors (187573256448).

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

77829542400 is a wasteful number, since it uses less digits than its factorization.

77829542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65443 (or 65422 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 77829542400 in words is "seventy-seven billion, eight hundred twenty-nine million, five hundred forty-two thousand, four hundred".