77715420 has 48 divisors (see below), whose sum is σ = 219088800. Its totient is φ = 20582656.

The previous prime is 77715383. The next prime is 77715431. The reversal of 77715420 is 2451777.

It is a happy number.

It is a congruent number.

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, 4594 + ... + 13286.

It is an arithmetic number, because the mean of its divisors is an integer number (4564350).

Almost surely, 2^77715420 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 77715420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109544400).

77715420 is an abundant number, since it is smaller than the sum of its proper divisors (141373380).

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

77715420 is a wasteful number, since it uses less digits than its factorization.

77715420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8852 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 77715420 is about 8815.6349742943. The cubic root of 77715420 is about 426.7456139178.

The spelling of 77715420 in words is "seventy-seven million, seven hundred fifteen thousand, four hundred twenty".