77734440 has 192 divisors, whose sum is σ = 292406400. Its totient is φ = 17542656.

The previous prime is 77734429. The next prime is 77734441. The reversal of 77734440 is 4443777.

It is a super-2 number, since 2×77734440² = 12085286324227200, which contains 22 as substring.

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 = 77734395 and 77734404.

It is not an unprimeable number, because it can be changed into a prime (77734441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274539 + ... + 274821.

It is an arithmetic number, because the mean of its divisors is an integer number (1522950).

Almost surely, 2^77734440 is an apocalyptic number.

77734440 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 77734440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146203200).

77734440 is an abundant number, since it is smaller than the sum of its proper divisors (214671960).

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

77734440 is a wasteful number, since it uses less digits than its factorization.

77734440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 77734440 is about 8816.7136734727. The cubic root of 77734440 is about 426.7804248536.

The spelling of 77734440 in words is "seventy-seven million, seven hundred thirty-four thousand, four hundred forty".