7742007 has 64 divisors (see below), whose sum is σ = 14837760. Its totient is φ = 3877632.

The previous prime is 7742003. The next prime is 7742017. The reversal of 7742007 is 7002477.

It is a happy number.

7742007 is nontrivially palindromic in base 2.

7742007 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7742007 - 2² = 7742003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

7742007 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7742003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56443 + ... + 56579.

It is an arithmetic number, because the mean of its divisors is an integer number (231840).

Almost surely, 2^7742007 is an apocalyptic number.

7742007 is a deficient number, since it is larger than the sum of its proper divisors (7095753).

7742007 is a wasteful number, since it uses less digits than its factorization.

7742007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

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

The square root of 7742007 is about 2782.4462258955. The cubic root of 7742007 is about 197.8265239041.

The spelling of 7742007 in words is "seven million, seven hundred forty-two thousand, seven".