77390438400 has 756 divisors, whose sum is σ = 305583121116. Its totient is φ = 18707251200.

The previous prime is 77390438399. The next prime is 77390438459. The reversal of 77390438400 is 483409377.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 223027027 + ... + 223027373.

Almost surely, 2^77390438400 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 77390438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152791560558).

77390438400 is an abundant number, since it is smaller than the sum of its proper divisors (228192682716).

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

77390438400 is a wasteful number, since it uses less digits than its factorization.

77390438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 77390438400 in words is "seventy-seven billion, three hundred ninety million, four hundred thirty-eight thousand, four hundred".