77045760000 has 1020 divisors, whose sum is σ = 319383327120. Its totient is φ = 17694720000.

The previous prime is 77045759963. The next prime is 77045760013. The reversal of 77045760000 is 6754077.

77045760000 is a `hidden beast` number, since 7 + 7 + 0 + 45 + 7 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4055039991 + ... + 4055040009.

Almost surely, 2^77045760000 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 77045760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159691663560).

77045760000 is an abundant number, since it is smaller than the sum of its proper divisors (242337567120).

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

77045760000 is an equidigital number, since it uses as much as digits as its factorization.

77045760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 77045760000 in words is "seventy-seven billion, forty-five million, seven hundred sixty thousand".