77437340000 has 120 divisors (see below), whose sum is σ = 192806875800. Its totient is φ = 30601088000.

The previous prime is 77437339951. The next prime is 77437340017. The reversal of 77437340000 is 4373477.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1636676 + ... + 1683324.

It is an arithmetic number, because the mean of its divisors is an integer number (1606723965).

Almost surely, 2^77437340000 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 77437340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96403437900).

77437340000 is an abundant number, since it is smaller than the sum of its proper divisors (115369535800).

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

77437340000 is an equidigital number, since it uses as much as digits as its factorization.

77437340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46762 (or 46739 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 35.

The spelling of 77437340000 in words is "seventy-seven billion, four hundred thirty-seven million, three hundred forty thousand".