77975040 has 320 divisors, whose sum is σ = 296980992. Its totient is φ = 17203200.

The previous prime is 77975011. The next prime is 77975063. The reversal of 77975040 is 4057977.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 77975040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098205 + ... + 1098275.

Almost surely, 2^77975040 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 77975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496).

77975040 is an abundant number, since it is smaller than the sum of its proper divisors (219005952).

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

77975040 is a wasteful number, since it uses less digits than its factorization.

77975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 77975040 is about 8830.3476715246. The cubic root of 77975040 is about 427.2202882817.

The spelling of 77975040 in words is "seventy-seven million, nine hundred seventy-five thousand, forty".