77230440 has 192 divisors, whose sum is σ = 302140800. Its totient is φ = 16713216.

The previous prime is 77230411. The next prime is 77230457. The reversal of 77230440 is 4403277.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47074 + ... + 48686.

It is an arithmetic number, because the mean of its divisors is an integer number (1573650).

Almost surely, 2^77230440 is an apocalyptic number.

77230440 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 77230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151070400).

77230440 is an abundant number, since it is smaller than the sum of its proper divisors (224910360).

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

77230440 is a wasteful number, since it uses less digits than its factorization.

77230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 77230440 is about 8788.0851156552. The cubic root of 77230440 is about 425.8560645781.

The spelling of 77230440 in words is "seventy-seven million, two hundred thirty thousand, four hundred forty".