77970144 has 48 divisors (see below), whose sum is σ = 233912448. Its totient is φ = 22276992.

The previous prime is 77970131. The next prime is 77970157. The reversal of 77970144 is 44107977.

It is an interprime number because it is at equal distance from previous prime (77970131) and next prime (77970157).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57342 + ... + 58685.

It is an arithmetic number, because the mean of its divisors is an integer number (4873176).

Almost surely, 2^77970144 is an apocalyptic number.

It is an amenable number.

77970144 is an abundant number, since it is smaller than the sum of its proper divisors (155942304).

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

77970144 is a wasteful number, since it uses less digits than its factorization.

77970144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116047 (or 116039 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 77970144 is about 8830.0704413951. The cubic root of 77970144 is about 427.2113464702.

The spelling of 77970144 in words is "seventy-seven million, nine hundred seventy thousand, one hundred forty-four".