77466480 has 160 divisors (see below), whose sum is σ = 295647744. Its totient is φ = 16339968.

The previous prime is 77466479. The next prime is 77466497. The reversal of 77466480 is 8466477.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20067 + ... + 23613.

Almost surely, 2^77466480 is an apocalyptic number.

77466480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77466480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147823872).

77466480 is an abundant number, since it is smaller than the sum of its proper divisors (218181264).

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

77466480 is a wasteful number, since it uses less digits than its factorization.

77466480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 77466480 is about 8801.5044168597. The cubic root of 77466480 is about 426.2894724126.

The spelling of 77466480 in words is "seventy-seven million, four hundred sixty-six thousand, four hundred eighty".