77825040 has 80 divisors (see below), whose sum is σ = 243817728. Its totient is φ = 20533248.

The previous prime is 77825003. The next prime is 77825063. The reversal of 77825040 is 4052877.

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

It is a junction number, because it is equal to n+sod(n) for n = 77824992 and 77825010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21609 + ... + 24951.

Almost surely, 2^77825040 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 77825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121908864).

77825040 is an abundant number, since it is smaller than the sum of its proper divisors (165992688).

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

77825040 is a wasteful number, since it uses less digits than its factorization.

77825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 77825040 is about 8821.8501460861. The cubic root of 77825040 is about 426.9461656084.

The spelling of 77825040 in words is "seventy-seven million, eight hundred twenty-five thousand, forty".