77346828720 has 400 divisors, whose sum is σ = 308997657408. Its totient is φ = 17565050880.

The previous prime is 77346828719. The next prime is 77346828743. The reversal of 77346828720 is 2782864377.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7116090 + ... + 7126950.

Almost surely, 2^77346828720 is an apocalyptic number.

77346828720 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 77346828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154498828704).

77346828720 is an abundant number, since it is smaller than the sum of its proper divisors (231650828688).

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

77346828720 is a wasteful number, since it uses less digits than its factorization.

77346828720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11050 (or 11035 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 77346828720 in words is "seventy-seven billion, three hundred forty-six million, eight hundred twenty-eight thousand, seven hundred twenty".