77386752000 has 672 divisors, whose sum is σ = 290251188864. Its totient is φ = 20570112000.

The previous prime is 77386751971. The next prime is 77386752007. The reversal of 77386752000 is 25768377.

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

It is not an unprimeable number, because it can be changed into a prime (77386752007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248831845 + ... + 248832155.

It is an arithmetic number, because the mean of its divisors is an integer number (431921412).

Almost surely, 2^77386752000 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 77386752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145125594432).

77386752000 is an abundant number, since it is smaller than the sum of its proper divisors (212864436864).

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

77386752000 is an frugal number, since it uses more digits than its factorization.

77386752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 77386752000 in words is "seventy-seven billion, three hundred eighty-six million, seven hundred fifty-two thousand".