77482080 has 144 divisors (see below), whose sum is σ = 284815440. Its totient is φ = 19067904.

The previous prime is 77482079. The next prime is 77482081. The reversal of 77482080 is 8028477.

It is an interprime number because it is at equal distance from previous prime (77482079) and next prime (77482081).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×77482080² = 12006945442252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77482081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16651 + ... + 20789.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 2^77482080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142407720).

77482080 is an abundant number, since it is smaller than the sum of its proper divisors (207333360).

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

77482080 is a wasteful number, since it uses less digits than its factorization.

77482080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 77482080 is about 8802.3905843810. The cubic root of 77482080 is about 426.3180855170.

The spelling of 77482080 in words is "seventy-seven million, four hundred eighty-two thousand, eighty".