77770667520 has 960 divisors, whose sum is σ = 338709571200. Its totient is φ = 16387080192.

The previous prime is 77770667519. The next prime is 77770667539. The reversal of 77770667520 is 2576607777.

It is a tau number, because it is divible by the number of its divisors (960).

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, 102734982 + ... + 102735738.

It is an arithmetic number, because the mean of its divisors is an integer number (352822470).

Almost surely, 2^77770667520 is an apocalyptic number.

77770667520 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 77770667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169354785600).

77770667520 is an abundant number, since it is smaller than the sum of its proper divisors (260938903680).

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

77770667520 is a wasteful number, since it uses less digits than its factorization.

77770667520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 6050520, while the sum is 54.

The spelling of 77770667520 in words is "seventy-seven billion, seven hundred seventy million, six hundred sixty-seven thousand, five hundred twenty".