77290536960 has 880 divisors, whose sum is σ = 341047165536. Its totient is φ = 16307453952.

The previous prime is 77290536949. The next prime is 77290536971. The reversal of 77290536960 is 6963509277.

It is an interprime number because it is at equal distance from previous prime (77290536949) and next prime (77290536971).

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

It is a junction number, because it is equal to n+sod(n) for n = 77290536897 and 77290536906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5945425914 + ... + 5945425926.

Almost surely, 2^77290536960 is an apocalyptic number.

77290536960 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 77290536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170523582768).

77290536960 is an abundant number, since it is smaller than the sum of its proper divisors (263756628576).

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

77290536960 is an frugal number, since it uses more digits than its factorization.

77290536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 77290536960 in words is "seventy-seven billion, two hundred ninety million, five hundred thirty-six thousand, nine hundred sixty".