778952400 has 120 divisors (see below), whose sum is σ = 2520341664. Its totient is φ = 205632000.

The previous prime is 778952357. The next prime is 778952401. The reversal of 778952400 is 4259877.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778952401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117987 + ... + 124413.

Almost surely, 2^778952400 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 778952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260170832).

778952400 is an abundant number, since it is smaller than the sum of its proper divisors (1741389264).

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

778952400 is a wasteful number, since it uses less digits than its factorization.

778952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6549 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 778952400 is about 27909.7187373861. The cubic root of 778952400 is about 920.1041155011.

The spelling of 778952400 in words is "seven hundred seventy-eight million, nine hundred fifty-two thousand, four hundred".