78961400 has 48 divisors (see below), whose sum is σ = 209815440. Its totient is φ = 27072000.

The previous prime is 78961339. The next prime is 78961417. The reversal of 78961400 is 416987.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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, 26801 + ... + 29600.

It is an arithmetic number, because the mean of its divisors is an integer number (4371155).

Almost surely, 2^78961400 is an apocalyptic number.

78961400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78961400 is an abundant number, since it is smaller than the sum of its proper divisors (130854040).

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

78961400 is a wasteful number, since it uses less digits than its factorization.

78961400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56424 (or 56415 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 78961400 is about 8886.0227323589. The cubic root of 78961400 is about 429.0141467434.

It can be divided in two parts, 78961 and 400, that multiplied together give a square (31584400 = 5620²).

The spelling of 78961400 in words is "seventy-eight million, nine hundred sixty-one thousand, four hundred".