77018399640 has 640 divisors, whose sum is σ = 322010156160. Its totient is φ = 16076537856.

The previous prime is 77018399609. The next prime is 77018399641. The reversal of 77018399640 is 4699381077.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77018399641) 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 159 ways as a sum of consecutive naturals, for example, 28598134 + ... + 28600826.

It is an arithmetic number, because the mean of its divisors is an integer number (503140869).

Almost surely, 2^77018399640 is an apocalyptic number.

77018399640 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 77018399640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161005078080).

77018399640 is an abundant number, since it is smaller than the sum of its proper divisors (244991756520).

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

77018399640 is a wasteful number, since it uses less digits than its factorization.

77018399640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 77018399640 in words is "seventy-seven billion, eighteen million, three hundred ninety-nine thousand, six hundred forty".