77335104000 has 640 divisors, whose sum is σ = 320626335744. Its totient is φ = 16066560000.

The previous prime is 77335103981. The next prime is 77335104043. The reversal of 77335104000 is 40153377.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14781385 + ... + 14786615.

Almost surely, 2^77335104000 is an apocalyptic number.

77335104000 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 77335104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160313167872).

77335104000 is an abundant number, since it is smaller than the sum of its proper divisors (243291231744).

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

77335104000 is a wasteful number, since it uses less digits than its factorization.

77335104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

Adding to 77335104000 its reverse (40153377), we get a palindrome (77375257377).

The spelling of 77335104000 in words is "seventy-seven billion, three hundred thirty-five million, one hundred four thousand".