77516334000 has 360 divisors, whose sum is σ = 314944538688. Its totient is φ = 17717817600.

The previous prime is 77516333989. The next prime is 77516334019. The reversal of 77516334000 is 43361577.

77516334000 is a `hidden beast` number, since 77 + 516 + 33 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 838057 + ... + 925943.

Almost surely, 2^77516334000 is an apocalyptic number.

77516334000 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 77516334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157472269344).

77516334000 is an abundant number, since it is smaller than the sum of its proper divisors (237428204688).

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

77516334000 is a wasteful number, since it uses less digits than its factorization.

77516334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87930 (or 87904 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Adding to 77516334000 its reverse (43361577), we get a palindrome (77559695577).

The spelling of 77516334000 in words is "seventy-seven billion, five hundred sixteen million, three hundred thirty-four thousand".