77455040 has 112 divisors (see below), whose sum is σ = 203716128. Its totient is φ = 27869184.

The previous prime is 77455031. The next prime is 77455057. The reversal of 77455040 is 4055477.

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 = 77454988 and 77455006.

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, 178664 + ... + 179096.

It is an arithmetic number, because the mean of its divisors is an integer number (1818894).

Almost surely, 2^77455040 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 77455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101858064).

77455040 is an abundant number, since it is smaller than the sum of its proper divisors (126261088).

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

77455040 is a wasteful number, since it uses less digits than its factorization.

77455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 77455040 is about 8800.8545039672. The cubic root of 77455040 is about 426.2684870280.

The spelling of 77455040 in words is "seventy-seven million, four hundred fifty-five thousand, forty".