77428627600 has 45 divisors (see below), whose sum is σ = 186035649163. Its totient is φ = 30969224960.

The previous prime is 77428627589. The next prime is 77428627711. The reversal of 77428627600 is 672682477.

The square root of 77428627600 is 278260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2226064 + 77426401536 = 1492^2 + 278256^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 5558244 + ... + 5572156.

Almost surely, 2^77428627600 is an apocalyptic number.

77428627600 is the 278260-th square number.

It is an amenable number.

77428627600 is an abundant number, since it is smaller than the sum of its proper divisors (108607021563).

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

77428627600 is an frugal number, since it uses more digits than its factorization.

77428627600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27844 (or 13920 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 49.

Multiplying 77428627600 by its sum of digits (49), we get a square (3794002752400 = 1947820²).

The spelling of 77428627600 in words is "seventy-seven billion, four hundred twenty-eight million, six hundred twenty-seven thousand, six hundred".