77667480 has 144 divisors (see below), whose sum is σ = 277608240. Its totient is φ = 18817920.

The previous prime is 77667479. The next prime is 77667517. The reversal of 77667480 is 8476677.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42669 + ... + 44451.

It is an arithmetic number, because the mean of its divisors is an integer number (1927835).

Almost surely, 2^77667480 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 77667480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138804120).

77667480 is an abundant number, since it is smaller than the sum of its proper divisors (199940760).

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

77667480 is a wasteful number, since it uses less digits than its factorization.

77667480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 77667480 is about 8812.9155221187. The cubic root of 77667480 is about 426.6578475825.

The spelling of 77667480 in words is "seventy-seven million, six hundred sixty-seven thousand, four hundred eighty".