778902480 has 240 divisors, whose sum is σ = 2746074240. Its totient is φ = 205161984.

The previous prime is 778902409. The next prime is 778902499. The reversal of 778902480 is 84209877.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2002126 + ... + 2002514.

It is an arithmetic number, because the mean of its divisors is an integer number (11441976).

Almost surely, 2^778902480 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 778902480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373037120).

778902480 is an abundant number, since it is smaller than the sum of its proper divisors (1967171760).

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

778902480 is a wasteful number, since it uses less digits than its factorization.

778902480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 778902480 is about 27908.8244109278. The cubic root of 778902480 is about 920.0844597948.

The spelling of 778902480 in words is "seven hundred seventy-eight million, nine hundred two thousand, four hundred eighty".