157783400 has 48 divisors (see below), whose sum is σ = 368092140. Its totient is φ = 62899200.

The previous prime is 157783399. The next prime is 157783411. The reversal of 157783400 is 4387751.

157783400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 50495236 + 107288164 = 7106^2 + 10358^2 .

It is a nialpdrome in base 15.

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, 66230 + ... + 68570.

Almost surely, 2^157783400 is an apocalyptic number.

157783400 is a gapful number since it is divisible by the number (10) 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 157783400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184046070).

157783400 is an abundant number, since it is smaller than the sum of its proper divisors (210308740).

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

157783400 is a wasteful number, since it uses less digits than its factorization.

157783400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 157783400 is about 12561.1862497138. The cubic root of 157783400 is about 540.3648654390.

The spelling of 157783400 in words is "one hundred fifty-seven million, seven hundred eighty-three thousand, four hundred".