77411840 has 80 divisors (see below), whose sum is σ = 202554000. Its totient is φ = 28139520.

The previous prime is 77411837. The next prime is 77411879. The reversal of 77411840 is 4811477.

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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 77411797 and 77411806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26786 + ... + 29534.

It is an arithmetic number, because the mean of its divisors is an integer number (2531925).

Almost surely, 2^77411840 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 77411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101277000).

77411840 is an abundant number, since it is smaller than the sum of its proper divisors (125142160).

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

77411840 is a wasteful number, since it uses less digits than its factorization.

77411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 77411840 is about 8798.3998545190. The cubic root of 77411840 is about 426.1892228799.

The spelling of 77411840 in words is "seventy-seven million, four hundred eleven thousand, eight hundred forty".