80029777766400 has 4608 divisors, whose sum is σ = 384359399424000. Its totient is φ = 15837659136000.

The previous prime is 80029777766399. The next prime is 80029777766417. The reversal of 80029777766400 is 466777792008.

80029777766400 is a `hidden beast` number, since 8 + 0 + 0 + 2 + 97 + 77 + 76 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 260683315047 + ... + 260683315353.

It is an arithmetic number, because the mean of its divisors is an integer number (83411328000).

Almost surely, 2^{80029777766400} is an apocalyptic number.

80029777766400 is a gapful number since it is divisible by the number (80) 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 80029777766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192179699712000).

80029777766400 is an abundant number, since it is smaller than the sum of its proper divisors (304329621657600).

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

80029777766400 is a wasteful number, since it uses less digits than its factorization.

80029777766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 80029777766400 in words is "eighty trillion, twenty-nine billion, seven hundred seventy-seven million, seven hundred sixty-six thousand, four hundred".