77652126720 has 1056 divisors, whose sum is σ = 333382608000. Its totient is φ = 16704995328.

The previous prime is 77652126709. The next prime is 77652126731. The reversal of 77652126720 is 2762125677.

It is an interprime number because it is at equal distance from previous prime (77652126709) and next prime (77652126731).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4567772152 + ... + 4567772168.

Almost surely, 2^77652126720 is an apocalyptic number.

77652126720 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 77652126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166691304000).

77652126720 is an abundant number, since it is smaller than the sum of its proper divisors (255730481280).

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

77652126720 is an equidigital number, since it uses as much as digits as its factorization.

77652126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 77652126720 in words is "seventy-seven billion, six hundred fifty-two million, one hundred twenty-six thousand, seven hundred twenty".