77241964800 has 864 divisors, whose sum is σ = 342348088320. Its totient is φ = 14811955200.

The previous prime is 77241964799. The next prime is 77241964819. The reversal of 77241964800 is 846914277.

It is a super-2 number, since 2×77241964800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 77241964800.

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, 19217191 + ... + 19221209.

Almost surely, 2^77241964800 is an apocalyptic number.

77241964800 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 77241964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171174044160).

77241964800 is an abundant number, since it is smaller than the sum of its proper divisors (265106123520).

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

77241964800 is a wasteful number, since it uses less digits than its factorization.

77241964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 77241964800 in words is "seventy-seven billion, two hundred forty-one million, nine hundred sixty-four thousand, eight hundred".