77196551040 has 512 divisors, whose sum is σ = 316359936000. Its totient is φ = 17642686464.

The previous prime is 77196551017. The next prime is 77196551041. The reversal of 77196551040 is 4015569177.

77196551040 is a `hidden beast` number, since 7 + 7 + 1 + 96 + 5 + 510 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77196551041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9793821 + ... + 9801699.

It is an arithmetic number, because the mean of its divisors is an integer number (617890500).

Almost surely, 2^77196551040 is an apocalyptic number.

77196551040 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 77196551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158179968000).

77196551040 is an abundant number, since it is smaller than the sum of its proper divisors (239163384960).

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

77196551040 is an frugal number, since it uses more digits than its factorization.

77196551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 77196551040 in words is "seventy-seven billion, one hundred ninety-six million, five hundred fifty-one thousand, forty".