77482440 has 256 divisors, whose sum is σ = 304243200. Its totient is φ = 17169408.

The previous prime is 77482429. The next prime is 77482451. The reversal of 77482440 is 4428477.

It is an interprime number because it is at equal distance from previous prime (77482429) and next prime (77482451).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77482395 and 77482404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279582 + ... + 279858.

It is an arithmetic number, because the mean of its divisors is an integer number (1188450).

Almost surely, 2^77482440 is an apocalyptic number.

77482440 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 77482440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152121600).

77482440 is an abundant number, since it is smaller than the sum of its proper divisors (226760760).

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

77482440 is a wasteful number, since it uses less digits than its factorization.

77482440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 77482440 is about 8802.4110333476. The cubic root of 77482440 is about 426.3187457740.

The spelling of 77482440 in words is "seventy-seven million, four hundred eighty-two thousand, four hundred forty".