77818032000 has 384 divisors, whose sum is σ = 280707729120. Its totient is φ = 20659200000.

The previous prime is 77818031987. The next prime is 77818032053. The reversal of 77818032000 is 23081877.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×77818032000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36142924 + ... + 36145076.

Almost surely, 2^77818032000 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 77818032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140353864560).

77818032000 is an abundant number, since it is smaller than the sum of its proper divisors (202889697120).

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

77818032000 is a wasteful number, since it uses less digits than its factorization.

77818032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 77818032000 in words is "seventy-seven billion, eight hundred eighteen million, thirty-two thousand".