77385420 has 72 divisors (see below), whose sum is σ = 268273824. Its totient is φ = 17687808.

The previous prime is 77385401. The next prime is 77385421. The reversal of 77385420 is 2458377.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (77385421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29449 + ... + 31968.

Almost surely, 2^77385420 is an apocalyptic number.

77385420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77385420 is an abundant number, since it is smaller than the sum of its proper divisors (190888404).

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

77385420 is a wasteful number, since it uses less digits than its factorization.

77385420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61439 (or 61434 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 77385420 is about 8796.8983170206. The cubic root of 77385420 is about 426.1407324488.

The spelling of 77385420 in words is "seventy-seven million, three hundred eighty-five thousand, four hundred twenty".