77906070 has 128 divisors (see below), whose sum is σ = 240122880. Its totient is φ = 17763840.

The previous prime is 77906057. The next prime is 77906077. The reversal of 77906070 is 7060977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77906077) 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, 49719 + ... + 51261.

It is an arithmetic number, because the mean of its divisors is an integer number (1875960).

Almost surely, 2^77906070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77906070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120061440).

77906070 is an abundant number, since it is smaller than the sum of its proper divisors (162216810).

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

77906070 is a wasteful number, since it uses less digits than its factorization.

77906070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 77906070 is about 8826.4415253260. The cubic root of 77906070 is about 427.0942903766.

The spelling of 77906070 in words is "seventy-seven million, nine hundred six thousand, seventy".