77030436000 has 384 divisors, whose sum is σ = 292727844864. Its totient is φ = 17342899200.

The previous prime is 77030435983. The next prime is 77030436001. The reversal of 77030436000 is 63403077.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (77030436001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5621157 + ... + 5634843.

It is an arithmetic number, because the mean of its divisors is an integer number (762312096).

Almost surely, 2^77030436000 is an apocalyptic number.

77030436000 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 77030436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146363922432).

77030436000 is an abundant number, since it is smaller than the sum of its proper divisors (215697408864).

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

77030436000 is a wasteful number, since it uses less digits than its factorization.

77030436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13789 (or 13771 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

Adding to 77030436000 its reverse (63403077), we get a palindrome (77093839077).

The spelling of 77030436000 in words is "seventy-seven billion, thirty million, four hundred thirty-six thousand".