77525040 has 80 divisors (see below), whose sum is σ = 241555968. Its totient is φ = 20567808.

The previous prime is 77525029. The next prime is 77525047. The reversal of 77525040 is 4052577.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 77524989 and 77525007.

It is not an unprimeable number, because it can be changed into a prime (77525047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53769 + ... + 55191.

Almost surely, 2^77525040 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 77525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120777984).

77525040 is an abundant number, since it is smaller than the sum of its proper divisors (164030928).

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

77525040 is a wasteful number, since it uses less digits than its factorization.

77525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 77525040 is about 8804.8304924059. The cubic root of 77525040 is about 426.3968617585.

The spelling of 77525040 in words is "seventy-seven million, five hundred twenty-five thousand, forty".