77974200480 has 144 divisors (see below), whose sum is σ = 269977815072. Its totient is φ = 18902822400.

The previous prime is 77974200463. The next prime is 77974200481. The reversal of 77974200480 is 8400247977.

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

It is not an unprimeable number, because it can be changed into a prime (77974200481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 613186 + ... + 729345.

It is an arithmetic number, because the mean of its divisors is an integer number (1874845938).

Almost surely, 2^77974200480 is an apocalyptic number.

It is an amenable number.

77974200480 is an abundant number, since it is smaller than the sum of its proper divisors (192003614592).

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

77974200480 is a wasteful number, since it uses less digits than its factorization.

77974200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342571 (or 1342552 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 77974200480 in words is "seventy-seven billion, nine hundred seventy-four million, two hundred thousand, four hundred eighty".