77683437720 has 384 divisors, whose sum is σ = 306915998400. Its totient is φ = 17420562432.

The previous prime is 77683437703. The next prime is 77683437737. The reversal of 77683437720 is 2773438677.

It is an interprime number because it is at equal distance from previous prime (77683437703) and next prime (77683437737).

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 95 ways as a sum of consecutive naturals, for example, 2790912 + ... + 2818608.

Almost surely, 2^77683437720 is an apocalyptic number.

77683437720 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 77683437720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153457999200).

77683437720 is an abundant number, since it is smaller than the sum of its proper divisors (229232560680).

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

77683437720 is a wasteful number, since it uses less digits than its factorization.

77683437720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27784 (or 27767 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 77683437720 in words is "seventy-seven billion, six hundred eighty-three million, four hundred thirty-seven thousand, seven hundred twenty".