77879309760 has 1680 divisors, whose sum is σ = 354099936960. Its totient is φ = 15885434880.

The previous prime is 77879309747. The next prime is 77879309803. The reversal of 77879309760 is 6790397877.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 1899495340 + ... + 1899495380.

It is an arithmetic number, because the mean of its divisors is an integer number (210773772).

Almost surely, 2^77879309760 is an apocalyptic number.

77879309760 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 77879309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177049968480).

77879309760 is an abundant number, since it is smaller than the sum of its proper divisors (276220627200).

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

77879309760 is a wasteful number, since it uses less digits than its factorization.

77879309760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The spelling of 77879309760 in words is "seventy-seven billion, eight hundred seventy-nine million, three hundred nine thousand, seven hundred sixty".