77248461700 has 72 divisors (see below), whose sum is σ = 168894705672. Its totient is φ = 30666746880.

The previous prime is 77248461649. The next prime is 77248461739. The reversal of 77248461700 is 716484277.

It can be written as a sum of positive squares in 12 ways, for example, as 19047864196 + 58200597504 = 138014^2 + 241248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10670482 + ... + 10677718.

It is an arithmetic number, because the mean of its divisors is an integer number (2345759801).

Almost surely, 2^77248461700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77248461700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84447352836).

77248461700 is an abundant number, since it is smaller than the sum of its proper divisors (91646243972).

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

77248461700 is a wasteful number, since it uses less digits than its factorization.

77248461700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8041 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 46.

The spelling of 77248461700 in words is "seventy-seven billion, two hundred forty-eight million, four hundred sixty-one thousand, seven hundred".