802661400 has 120 divisors (see below), whose sum is σ = 2787818220. Its totient is φ = 214038720.

The previous prime is 802661399. The next prime is 802661411. The reversal of 802661400 is 4166208.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8574 + ... + 40973.

Almost surely, 2^802661400 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 802661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393909110).

802661400 is an abundant number, since it is smaller than the sum of its proper divisors (1985156820).

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

802661400 is a wasteful number, since it uses less digits than its factorization.

802661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49575 (or 49557 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 802661400 is about 28331.2795334062. The cubic root of 802661400 is about 929.3460543224.

The spelling of 802661400 in words is "eight hundred two million, six hundred sixty-one thousand, four hundred".