77045760 has 336 divisors, whose sum is σ = 306689760. Its totient is φ = 17694720.

The previous prime is 77045753. The next prime is 77045767. The reversal of 77045760 is 6754077.

It is an interprime number because it is at equal distance from previous prime (77045753) and next prime (77045767).

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

It is not an unprimeable number, because it can be changed into a prime (77045767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4055031 + ... + 4055049.

Almost surely, 2^77045760 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 77045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153344880).

77045760 is an abundant number, since it is smaller than the sum of its proper divisors (229644000).

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

77045760 is a wasteful number, since it uses less digits than its factorization.

77045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

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

The square root of 77045760 is about 8777.5714181088. The cubic root of 77045760 is about 425.5163458928.

The spelling of 77045760 in words is "seventy-seven million, forty-five thousand, seven hundred sixty".