77978760 has 64 divisors (see below), whose sum is σ = 235483200. Its totient is φ = 20656896.

The previous prime is 77978753. The next prime is 77978773. The reversal of 77978760 is 6787977.

It is a super-2 number, since 2×77978760² = 12161374022275200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16771 + ... + 20909.

It is an arithmetic number, because the mean of its divisors is an integer number (3679425).

Almost surely, 2^77978760 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 77978760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117741600).

77978760 is an abundant number, since it is smaller than the sum of its proper divisors (157504440).

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

77978760 is a wasteful number, since it uses less digits than its factorization.

77978760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 51.

The square root of 77978760 is about 8830.5583062454. The cubic root of 77978760 is about 427.2270820548.

The spelling of 77978760 in words is "seventy-seven million, nine hundred seventy-eight thousand, seven hundred sixty".