77040000 has 240 divisors, whose sum is σ = 279613620. Its totient is φ = 20352000.

The previous prime is 77039993. The next prime is 77040013. The reversal of 77040000 is 4077.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719947 + ... + 720053.

Almost surely, 2^77040000 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 77040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139806810).

77040000 is an abundant number, since it is smaller than the sum of its proper divisors (202573620).

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

77040000 is a wasteful number, since it uses less digits than its factorization.

77040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 77040000 is about 8777.2433029967. The cubic root of 77040000 is about 425.5057416526.

Adding to 77040000 its reverse (4077), we get a palindrome (77044077).

The spelling of 77040000 in words is "seventy-seven million, forty thousand".