77699215440 has 640 divisors, whose sum is σ = 334721433600. Its totient is φ = 16094453760.

The previous prime is 77699215427. The next prime is 77699215469. The reversal of 77699215440 is 4451299677.

77699215440 is a `hidden beast` number, since 7 + 7 + 6 + 9 + 92 + 1 + 544 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 77005656 + ... + 77006664.

It is an arithmetic number, because the mean of its divisors is an integer number (523002240).

Almost surely, 2^77699215440 is an apocalyptic number.

77699215440 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 77699215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167360716800).

77699215440 is an abundant number, since it is smaller than the sum of its proper divisors (257022218160).

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

77699215440 is a wasteful number, since it uses less digits than its factorization.

77699215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 77699215440 in words is "seventy-seven billion, six hundred ninety-nine million, two hundred fifteen thousand, four hundred forty".