77903495010 has 256 divisors, whose sum is σ = 243009331200. Its totient is φ = 17548876800.

The previous prime is 77903495009. The next prime is 77903495011. The reversal of 77903495010 is 1059430977.

77903495010 is a `hidden beast` number, since 77 + 90 + 3 + 495 + 0 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77903495009) and next prime (77903495011).

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 (77903495011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3978945 + ... + 3998475.

It is an arithmetic number, because the mean of its divisors is an integer number (949255200).

Almost surely, 2^77903495010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77903495010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121504665600).

77903495010 is an abundant number, since it is smaller than the sum of its proper divisors (165105836190).

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

77903495010 is a wasteful number, since it uses less digits than its factorization.

77903495010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19654 (or 19648 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 77903495010 in words is "seventy-seven billion, nine hundred three million, four hundred ninety-five thousand, ten".