77967360 has 260 divisors, whose sum is σ = 285439968. Its totient is φ = 20348928.

The previous prime is 77967359. The next prime is 77967367. The reversal of 77967360 is 6376977.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (77967367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658857 + ... + 1658903.

Almost surely, 2^77967360 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 77967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142719984).

77967360 is an abundant number, since it is smaller than the sum of its proper divisors (207472608).

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

77967360 is an equidigital number, since it uses as much as digits as its factorization.

77967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 77967360 is about 8829.9127968514. The cubic root of 77967360 is about 427.2062617438.

The spelling of 77967360 in words is "seventy-seven million, nine hundred sixty-seven thousand, three hundred sixty".