906778400 has 72 divisors (see below), whose sum is σ = 2414939184. Its totient is φ = 329734400.

The previous prime is 906778393. The next prime is 906778423. The reversal of 906778400 is 4877609.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42722 + ... + 60321.

It is an arithmetic number, because the mean of its divisors is an integer number (33540822).

Almost surely, 2^906778400 is an apocalyptic number.

It is an amenable number.

906778400 is an abundant number, since it is smaller than the sum of its proper divisors (1508160784).

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

906778400 is a wasteful number, since it uses less digits than its factorization.

906778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103074 (or 103061 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 906778400 is about 30112.7614143904. The cubic root of 906778400 is about 967.9072037266.

The spelling of 906778400 in words is "nine hundred six million, seven hundred seventy-eight thousand, four hundred".