420007077 has 18 divisors (see below), whose sum is σ = 705726918. Its totient is φ = 240003792.

The previous prime is 420007073. The next prime is 420007079. The reversal of 420007077 is 770700024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 418366116 + 1640961 = 20454^2 + 1281^2 .

It is not a de Polignac number, because 420007077 - 2² = 420007073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420007077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420007073) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 475758 + ... + 476639.

It is an arithmetic number, because the mean of its divisors is an integer number (39207051).

Almost surely, 2^420007077 is an apocalyptic number.

It is an amenable number.

420007077 is a deficient number, since it is larger than the sum of its proper divisors (285719841).

420007077 is a wasteful number, since it uses less digits than its factorization.

420007077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952417 (or 952407 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 420007077 is about 20494.0741923123. The cubic root of 420007077 is about 748.8914449482.

The spelling of 420007077 in words is "four hundred twenty million, seven thousand, seventy-seven".