77929040 has 120 divisors (see below), whose sum is σ = 216986112. Its totient is φ = 25470720.

The previous prime is 77929001. The next prime is 77929081. The reversal of 77929040 is 4092977.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77928985 and 77929003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163087 + ... + 1163153.

Almost surely, 2^77929040 is an apocalyptic number.

77929040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108493056).

77929040 is an abundant number, since it is smaller than the sum of its proper divisors (139057072).

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

77929040 is a wasteful number, since it uses less digits than its factorization.

77929040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 77929040 is about 8827.7426333123. The cubic root of 77929040 is about 427.1362613973.

The spelling of 77929040 in words is "seventy-seven million, nine hundred twenty-nine thousand, forty".