77240620800 has 486 divisors, whose sum is σ = 321250537608. Its totient is φ = 17654353920.

The previous prime is 77240620771. The next prime is 77240620813. The reversal of 77240620800 is 802604277.

77240620800 is a `hidden beast` number, since 7 + 7 + 24 + 0 + 620 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×77240620800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2808717 + ... + 2836083.

Almost surely, 2^77240620800 is an apocalyptic number.

77240620800 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 77240620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160625268804).

77240620800 is an abundant number, since it is smaller than the sum of its proper divisors (244009916808).

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

77240620800 is a wasteful number, since it uses less digits than its factorization.

77240620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27413 (or 27384 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 77240620800 in words is "seventy-seven billion, two hundred forty million, six hundred twenty thousand, eight hundred".