77104340040 has 384 divisors, whose sum is σ = 305033904000. Its totient is φ = 15411658752.

The previous prime is 77104340029. The next prime is 77104340069. The reversal of 77104340040 is 4004340177.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1425816 + ... + 1478904.

It is an arithmetic number, because the mean of its divisors is an integer number (794359125).

Almost surely, 2^77104340040 is an apocalyptic number.

77104340040 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 77104340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152516952000).

77104340040 is an abundant number, since it is smaller than the sum of its proper divisors (227929563960).

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

77104340040 is a wasteful number, since it uses less digits than its factorization.

77104340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53149 (or 53138 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 77104340040 in words is "seventy-seven billion, one hundred four million, three hundred forty thousand, forty".