77956745280 has 224 divisors, whose sum is σ = 250829819904. Its totient is φ = 20511719424.

The previous prime is 77956745239. The next prime is 77956745341. The reversal of 77956745280 is 8254765977.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23528904 + ... + 23532216.

Almost surely, 2^77956745280 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 77956745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125414909952).

77956745280 is an abundant number, since it is smaller than the sum of its proper divisors (172873074624).

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

77956745280 is a wasteful number, since it uses less digits than its factorization.

77956745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 77956745280 in words is "seventy-seven billion, nine hundred fifty-six million, seven hundred forty-five thousand, two hundred eighty".