77684880 has 160 divisors (see below), whose sum is σ = 296481024. Its totient is φ = 16386048.

The previous prime is 77684861. The next prime is 77684899. The reversal of 77684880 is 8848677.

It is an interprime number because it is at equal distance from previous prime (77684861) and next prime (77684899).

It is a super-2 number, since 2×77684880² = 12069881161228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 20062 + ... + 23618.

Almost surely, 2^77684880 is an apocalyptic number.

77684880 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 77684880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148240512).

77684880 is an abundant number, since it is smaller than the sum of its proper divisors (218796144).

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

77684880 is a wasteful number, since it uses less digits than its factorization.

77684880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 77684880 is about 8813.9026543297. The cubic root of 77684880 is about 426.6897068721.

The spelling of 77684880 in words is "seventy-seven million, six hundred eighty-four thousand, eight hundred eighty".