1077408 has 96 divisors (see below), whose sum is σ = 3326400. Its totient is φ = 338688.

The previous prime is 1077397. The next prime is 1077413. The reversal of 1077408 is 8047701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 25035 + ... + 25077.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2^1077408 is an apocalyptic number.

1077408 is a gapful number since it is divisible by the number (18) 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 1077408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663200).

1077408 is an abundant number, since it is smaller than the sum of its proper divisors (2248992).

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

1077408 is a wasteful number, since it uses less digits than its factorization.

1077408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1077408 is about 1037.9826588147. The cubic root of 1077408 is about 102.5164122044.

It can be divided in two parts, 1077 and 408, that added together give a triangular number (1485 = T₅₄).

The spelling of 1077408 in words is "one million, seventy-seven thousand, four hundred eight".