77866735320 has 480 divisors, whose sum is σ = 294439551120. Its totient is φ = 18366600960.

The previous prime is 77866735307. The next prime is 77866735333. The reversal of 77866735320 is 2353766877.

It is an interprime number because it is at equal distance from previous prime (77866735307) and next prime (77866735333).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2104506342 + ... + 2104506378.

Almost surely, 2^77866735320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77866735320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147219775560).

77866735320 is an abundant number, since it is smaller than the sum of its proper divisors (216572815800).

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

77866735320 is an frugal number, since it uses more digits than its factorization.

77866735320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 77866735320 in words is "seventy-seven billion, eight hundred sixty-six million, seven hundred thirty-five thousand, three hundred twenty".