77751797760 has 1152 divisors, whose sum is σ = 338850570240. Its totient is φ = 16052649984.

The previous prime is 77751797693. The next prime is 77751797909. The reversal of 77751797760 is 6779715777.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 612218817 + ... + 612218943.

It is an arithmetic number, because the mean of its divisors is an integer number (294141120).

Almost surely, 2^77751797760 is an apocalyptic number.

77751797760 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 77751797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169425285120).

77751797760 is an abundant number, since it is smaller than the sum of its proper divisors (261098772480).

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

77751797760 is a wasteful number, since it uses less digits than its factorization.

77751797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 31765230, while the sum is 63.

The spelling of 77751797760 in words is "seventy-seven billion, seven hundred fifty-one million, seven hundred ninety-seven thousand, seven hundred sixty".