77740520 has 64 divisors (see below), whose sum is σ = 205511040. Its totient is φ = 26092800.

The previous prime is 77740511. The next prime is 77740549. The reversal of 77740520 is 2504777.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (3211110).

Almost surely, 2^77740520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77740520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102755520).

77740520 is an abundant number, since it is smaller than the sum of its proper divisors (127770520).

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

77740520 is a wasteful number, since it uses less digits than its factorization.

77740520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13626 (or 13622 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 32.

The square root of 77740520 is about 8817.0584664048. The cubic root of 77740520 is about 426.7915514420.

The spelling of 77740520 in words is "seventy-seven million, seven hundred forty thousand, five hundred twenty".