2007157077 has 80 divisors (see below), whose sum is σ = 3278499840. Its totient is φ = 1219857408.

The previous prime is 2007157073. The next prime is 2007157079. The reversal of 2007157077 is 7707517002.

It is a happy number.

It is not a de Polignac number, because 2007157077 - 2² = 2007157073 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007157073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5240428 + ... + 5240810.

It is an arithmetic number, because the mean of its divisors is an integer number (40981248).

Almost surely, 2^2007157077 is an apocalyptic number.

2007157077 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2007157077 is a deficient number, since it is larger than the sum of its proper divisors (1271342763).

2007157077 is a wasteful number, since it uses less digits than its factorization.

2007157077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 24010, while the sum is 36.

The square root of 2007157077 is about 44801.3066438915. The cubic root of 2007157077 is about 1261.4221527262.

The spelling of 2007157077 in words is "two billion, seven million, one hundred fifty-seven thousand, seventy-seven".